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Finding the Third Proportional to 318,840,811,108 and 702,671,535,546

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Solution

The third proportional to 318,840,811,108 and 702,671,535,546 is: 1,548,569,912,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,840,811,108 : 702,671,535,546 = 702,671,535,546 : x
  2. Step 2: Convert to fraction form
    318,840,811,108/702,671,535,546 = 702,671,535,546/x
  3. Step 3: Cross multiply
    318,840,811,108x = 702,671,535,546 × 702,671,535,546
  4. Step 4: Simplify right side
    318,840,811,108x = 493,747,286,866,573,528,137,728
  5. Step 5: Solve for x
    x = 493,747,286,866,573,528,137,728/318,840,811,108
  6. Step 6: Final answer
    x = 1,548,569,912,210.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.