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Finding the Third Proportional to 316,990.13 and 747,543.94

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Solution

The third proportional to 316,990.13 and 747,543.94 is: 1,762,900.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,990.13 : 747,543.94 = 747,543.94 : x
  2. Step 2: Convert to fraction form
    316,990.13/747,543.94 = 747,543.94/x
  3. Step 3: Cross multiply
    316,990.13x = 747,543.94 × 747,543.94
  4. Step 4: Simplify right side
    316,990.13x = 558,821,938,493.00
  5. Step 5: Solve for x
    x = 558,821,938,493.00/316,990.13
  6. Step 6: Final answer
    x = 1,762,900.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.