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Finding the Third Proportional to 318,502 and 690,140

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Solution

The third proportional to 318,502 and 690,140 is: 1,495,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,502 : 690,140 = 690,140 : x
  2. Step 2: Convert to fraction form
    318,502/690,140 = 690,140/x
  3. Step 3: Cross multiply
    318,502x = 690,140 × 690,140
  4. Step 4: Simplify right side
    318,502x = 476,293,219,600
  5. Step 5: Solve for x
    x = 476,293,219,600/318,502
  6. Step 6: Final answer
    x = 1,495,416.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.