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Finding the Third Proportional to 64,289 and 98,877

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Solution

The third proportional to 64,289 and 98,877 is: 152,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,289 : 98,877 = 98,877 : x
  2. Step 2: Convert to fraction form
    64,289/98,877 = 98,877/x
  3. Step 3: Cross multiply
    64,289x = 98,877 × 98,877
  4. Step 4: Simplify right side
    64,289x = 9,776,661,129
  5. Step 5: Solve for x
    x = 9,776,661,129/64,289
  6. Step 6: Final answer
    x = 152,073.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.