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Finding the Third Proportional to 145,098 and 205,497

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Solution

The third proportional to 145,098 and 205,497 is: 291,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,098 : 205,497 = 205,497 : x
  2. Step 2: Convert to fraction form
    145,098/205,497 = 205,497/x
  3. Step 3: Cross multiply
    145,098x = 205,497 × 205,497
  4. Step 4: Simplify right side
    145,098x = 42,229,017,009
  5. Step 5: Solve for x
    x = 42,229,017,009/145,098
  6. Step 6: Final answer
    x = 291,037.90

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.