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Finding the Third Proportional to 313,730 and 688,968

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Solution

The third proportional to 313,730 and 688,968 is: 1,513,010.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,730 : 688,968 = 688,968 : x
  2. Step 2: Convert to fraction form
    313,730/688,968 = 688,968/x
  3. Step 3: Cross multiply
    313,730x = 688,968 × 688,968
  4. Step 4: Simplify right side
    313,730x = 474,676,905,024
  5. Step 5: Solve for x
    x = 474,676,905,024/313,730
  6. Step 6: Final answer
    x = 1,513,010.89

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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.