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Finding the Third Proportional to 137,136 and 297,312

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Solution

The third proportional to 137,136 and 297,312 is: 644,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,136 : 297,312 = 297,312 : x
  2. Step 2: Convert to fraction form
    137,136/297,312 = 297,312/x
  3. Step 3: Cross multiply
    137,136x = 297,312 × 297,312
  4. Step 4: Simplify right side
    137,136x = 88,394,425,344
  5. Step 5: Solve for x
    x = 88,394,425,344/137,136
  6. Step 6: Final answer
    x = 644,574.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.