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Finding the Third Proportional to 64,320 and 137,136

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Solution

The third proportional to 64,320 and 137,136 is: 292,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,320 : 137,136 = 137,136 : x
  2. Step 2: Convert to fraction form
    64,320/137,136 = 137,136/x
  3. Step 3: Cross multiply
    64,320x = 137,136 × 137,136
  4. Step 4: Simplify right side
    64,320x = 18,806,282,496
  5. Step 5: Solve for x
    x = 18,806,282,496/64,320
  6. Step 6: Final answer
    x = 292,386.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.