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Finding the Third Proportional to 582,432 and 872,784

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Solution

The third proportional to 582,432 and 872,784 is: 1,307,881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,432 : 872,784 = 872,784 : x
  2. Step 2: Convert to fraction form
    582,432/872,784 = 872,784/x
  3. Step 3: Cross multiply
    582,432x = 872,784 × 872,784
  4. Step 4: Simplify right side
    582,432x = 761,751,910,656
  5. Step 5: Solve for x
    x = 761,751,910,656/582,432
  6. Step 6: Final answer
    x = 1,307,881.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.