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Finding the Third Proportional to 137,090 and 200,487

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Solution

The third proportional to 137,090 and 200,487 is: 293,201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,090 : 200,487 = 200,487 : x
  2. Step 2: Convert to fraction form
    137,090/200,487 = 200,487/x
  3. Step 3: Cross multiply
    137,090x = 200,487 × 200,487
  4. Step 4: Simplify right side
    137,090x = 40,195,037,169
  5. Step 5: Solve for x
    x = 40,195,037,169/137,090
  6. Step 6: Final answer
    x = 293,201.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.