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Finding the Third Proportional to 63,931.78 and 100,294.45

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Solution

The third proportional to 63,931.78 and 100,294.45 is: 157,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,931.78 : 100,294.45 = 100,294.45 : x
  2. Step 2: Convert to fraction form
    63,931.78/100,294.45 = 100,294.45/x
  3. Step 3: Cross multiply
    63,931.78x = 100,294.45 × 100,294.45
  4. Step 4: Simplify right side
    63,931.78x = 10,058,977,327.64
  5. Step 5: Solve for x
    x = 10,058,977,327.64/63,931.78
  6. Step 6: Final answer
    x = 157,339.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.