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Finding the Third Proportional to 680,421 and 1,000,947

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Solution

The third proportional to 680,421 and 1,000,947 is: 1,472,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,421 : 1,000,947 = 1,000,947 : x
  2. Step 2: Convert to fraction form
    680,421/1,000,947 = 1,000,947/x
  3. Step 3: Cross multiply
    680,421x = 1,000,947 × 1,000,947
  4. Step 4: Simplify right side
    680,421x = 1,001,894,896,809
  5. Step 5: Solve for x
    x = 1,001,894,896,809/680,421
  6. Step 6: Final answer
    x = 1,472,463.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.