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Finding the Third Proportional to 137,408 and 292,816

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Solution

The third proportional to 137,408 and 292,816 is: 623,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,408 : 292,816 = 292,816 : x
  2. Step 2: Convert to fraction form
    137,408/292,816 = 292,816/x
  3. Step 3: Cross multiply
    137,408x = 292,816 × 292,816
  4. Step 4: Simplify right side
    137,408x = 85,741,209,856
  5. Step 5: Solve for x
    x = 85,741,209,856/137,408
  6. Step 6: Final answer
    x = 623,989.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.