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Finding the Third Proportional to 71,136 and 133,248

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Solution

The third proportional to 71,136 and 133,248 is: 249,592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,136 : 133,248 = 133,248 : x
  2. Step 2: Convert to fraction form
    71,136/133,248 = 133,248/x
  3. Step 3: Cross multiply
    71,136x = 133,248 × 133,248
  4. Step 4: Simplify right side
    71,136x = 17,755,029,504
  5. Step 5: Solve for x
    x = 17,755,029,504/71,136
  6. Step 6: Final answer
    x = 249,592.74

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.