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Finding the Third Proportional to 378,432 and 829,440

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Solution

The third proportional to 378,432 and 829,440 is: 1,817,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,432 : 829,440 = 829,440 : x
  2. Step 2: Convert to fraction form
    378,432/829,440 = 829,440/x
  3. Step 3: Cross multiply
    378,432x = 829,440 × 829,440
  4. Step 4: Simplify right side
    378,432x = 687,970,713,600
  5. Step 5: Solve for x
    x = 687,970,713,600/378,432
  6. Step 6: Final answer
    x = 1,817,950.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.