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Finding the Third Proportional to 64,352 and 136,472

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Solution

The third proportional to 64,352 and 136,472 is: 289,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,352 : 136,472 = 136,472 : x
  2. Step 2: Convert to fraction form
    64,352/136,472 = 136,472/x
  3. Step 3: Cross multiply
    64,352x = 136,472 × 136,472
  4. Step 4: Simplify right side
    64,352x = 18,624,606,784
  5. Step 5: Solve for x
    x = 18,624,606,784/64,352
  6. Step 6: Final answer
    x = 289,417.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.