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Finding the Third Proportional to 345,498 and 747,586.50

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Solution

The third proportional to 345,498 and 747,586.50 is: 1,617,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,498 : 747,586.50 = 747,586.50 : x
  2. Step 2: Convert to fraction form
    345,498/747,586.50 = 747,586.50/x
  3. Step 3: Cross multiply
    345,498x = 747,586.50 × 747,586.50
  4. Step 4: Simplify right side
    345,498x = 558,885,574,982.25
  5. Step 5: Solve for x
    x = 558,885,574,982.25/345,498
  6. Step 6: Final answer
    x = 1,617,623.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.