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Finding the Third Proportional to 64,130 and 136,972

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Solution

The third proportional to 64,130 and 136,972 is: 292,551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,130 : 136,972 = 136,972 : x
  2. Step 2: Convert to fraction form
    64,130/136,972 = 136,972/x
  3. Step 3: Cross multiply
    64,130x = 136,972 × 136,972
  4. Step 4: Simplify right side
    64,130x = 18,761,328,784
  5. Step 5: Solve for x
    x = 18,761,328,784/64,130
  6. Step 6: Final answer
    x = 292,551.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.