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Finding the Third Proportional to 555,098 and 878,139

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Solution

The third proportional to 555,098 and 878,139 is: 1,389,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,098 : 878,139 = 878,139 : x
  2. Step 2: Convert to fraction form
    555,098/878,139 = 878,139/x
  3. Step 3: Cross multiply
    555,098x = 878,139 × 878,139
  4. Step 4: Simplify right side
    555,098x = 771,128,103,321
  5. Step 5: Solve for x
    x = 771,128,103,321/555,098
  6. Step 6: Final answer
    x = 1,389,174.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.