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Finding the Third Proportional to 555,469 and 829,569

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Solution

The third proportional to 555,469 and 829,569 is: 1,238,925.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,469 : 829,569 = 829,569 : x
  2. Step 2: Convert to fraction form
    555,469/829,569 = 829,569/x
  3. Step 3: Cross multiply
    555,469x = 829,569 × 829,569
  4. Step 4: Simplify right side
    555,469x = 688,184,725,761
  5. Step 5: Solve for x
    x = 688,184,725,761/555,469
  6. Step 6: Final answer
    x = 1,238,925.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.