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Finding the Third Proportional to 555,617 and 829,767

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Solution

The third proportional to 555,617 and 829,767 is: 1,239,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,617 : 829,767 = 829,767 : x
  2. Step 2: Convert to fraction form
    555,617/829,767 = 829,767/x
  3. Step 3: Cross multiply
    555,617x = 829,767 × 829,767
  4. Step 4: Simplify right side
    555,617x = 688,513,274,289
  5. Step 5: Solve for x
    x = 688,513,274,289/555,617
  6. Step 6: Final answer
    x = 1,239,186.84

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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.