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Finding the Third Proportional to 137,408 and 291,664

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Solution

The third proportional to 137,408 and 291,664 is: 619,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,408 : 291,664 = 291,664 : x
  2. Step 2: Convert to fraction form
    137,408/291,664 = 291,664/x
  3. Step 3: Cross multiply
    137,408x = 291,664 × 291,664
  4. Step 4: Simplify right side
    137,408x = 85,067,888,896
  5. Step 5: Solve for x
    x = 85,067,888,896/137,408
  6. Step 6: Final answer
    x = 619,089.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.