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Finding the Third Proportional to 440,300 and 680,294

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Solution

The third proportional to 440,300 and 680,294 is: 1,051,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,300 : 680,294 = 680,294 : x
  2. Step 2: Convert to fraction form
    440,300/680,294 = 680,294/x
  3. Step 3: Cross multiply
    440,300x = 680,294 × 680,294
  4. Step 4: Simplify right side
    440,300x = 462,799,926,436
  5. Step 5: Solve for x
    x = 462,799,926,436/440,300
  6. Step 6: Final answer
    x = 1,051,101.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.