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Finding the Third Proportional to 137,840 and 297,688

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Solution

The third proportional to 137,840 and 297,688 is: 642,905.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,840 : 297,688 = 297,688 : x
  2. Step 2: Convert to fraction form
    137,840/297,688 = 297,688/x
  3. Step 3: Cross multiply
    137,840x = 297,688 × 297,688
  4. Step 4: Simplify right side
    137,840x = 88,618,145,344
  5. Step 5: Solve for x
    x = 88,618,145,344/137,840
  6. Step 6: Final answer
    x = 642,905.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.