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Finding the Third Proportional to 64,712 and 141,136

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Solution

The third proportional to 64,712 and 141,136 is: 307,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,712 : 141,136 = 141,136 : x
  2. Step 2: Convert to fraction form
    64,712/141,136 = 141,136/x
  3. Step 3: Cross multiply
    64,712x = 141,136 × 141,136
  4. Step 4: Simplify right side
    64,712x = 19,919,370,496
  5. Step 5: Solve for x
    x = 19,919,370,496/64,712
  6. Step 6: Final answer
    x = 307,815.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.