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Finding the Third Proportional to 133,776 and 287,136

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Solution

The third proportional to 133,776 and 287,136 is: 616,306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,776 : 287,136 = 287,136 : x
  2. Step 2: Convert to fraction form
    133,776/287,136 = 287,136/x
  3. Step 3: Cross multiply
    133,776x = 287,136 × 287,136
  4. Step 4: Simplify right side
    133,776x = 82,447,082,496
  5. Step 5: Solve for x
    x = 82,447,082,496/133,776
  6. Step 6: Final answer
    x = 616,306.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.