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Finding the Third Proportional to 64,720 and 138,437

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Solution

The third proportional to 64,720 and 138,437 is: 296,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,720 : 138,437 = 138,437 : x
  2. Step 2: Convert to fraction form
    64,720/138,437 = 138,437/x
  3. Step 3: Cross multiply
    64,720x = 138,437 × 138,437
  4. Step 4: Simplify right side
    64,720x = 19,164,802,969
  5. Step 5: Solve for x
    x = 19,164,802,969/64,720
  6. Step 6: Final answer
    x = 296,118.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.