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Finding the Third Proportional to 62,386 and 136,438

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Solution

The third proportional to 62,386 and 136,438 is: 298,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,386 : 136,438 = 136,438 : x
  2. Step 2: Convert to fraction form
    62,386/136,438 = 136,438/x
  3. Step 3: Cross multiply
    62,386x = 136,438 × 136,438
  4. Step 4: Simplify right side
    62,386x = 18,615,327,844
  5. Step 5: Solve for x
    x = 18,615,327,844/62,386
  6. Step 6: Final answer
    x = 298,389.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.