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Finding the Third Proportional to 65,275.88 and 138,412.13

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Solution

The third proportional to 65,275.88 and 138,412.13 is: 293,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,275.88 : 138,412.13 = 138,412.13 : x
  2. Step 2: Convert to fraction form
    65,275.88/138,412.13 = 138,412.13/x
  3. Step 3: Cross multiply
    65,275.88x = 138,412.13 × 138,412.13
  4. Step 4: Simplify right side
    65,275.88x = 19,157,916,347.02
  5. Step 5: Solve for x
    x = 19,157,916,347.02/65,275.88
  6. Step 6: Final answer
    x = 293,491.53

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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.