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Finding the Third Proportional to 487,719.75 and 761,103.75

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Solution

The third proportional to 487,719.75 and 761,103.75 is: 1,187,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,719.75 : 761,103.75 = 761,103.75 : x
  2. Step 2: Convert to fraction form
    487,719.75/761,103.75 = 761,103.75/x
  3. Step 3: Cross multiply
    487,719.75x = 761,103.75 × 761,103.75
  4. Step 4: Simplify right side
    487,719.75x = 579,278,918,264.06
  5. Step 5: Solve for x
    x = 579,278,918,264.06/487,719.75
  6. Step 6: Final answer
    x = 1,187,729.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.