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Finding the Third Proportional to 724,140 and 1,012,872

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Solution

The third proportional to 724,140 and 1,012,872 is: 1,416,728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,140 : 1,012,872 = 1,012,872 : x
  2. Step 2: Convert to fraction form
    724,140/1,012,872 = 1,012,872/x
  3. Step 3: Cross multiply
    724,140x = 1,012,872 × 1,012,872
  4. Step 4: Simplify right side
    724,140x = 1,025,909,688,384
  5. Step 5: Solve for x
    x = 1,025,909,688,384/724,140
  6. Step 6: Final answer
    x = 1,416,728.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.