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Finding the Third Proportional to 78,488 and 100,779.50

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Solution

The third proportional to 78,488 and 100,779.50 is: 129,402.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,488 : 100,779.50 = 100,779.50 : x
  2. Step 2: Convert to fraction form
    78,488/100,779.50 = 100,779.50/x
  3. Step 3: Cross multiply
    78,488x = 100,779.50 × 100,779.50
  4. Step 4: Simplify right side
    78,488x = 10,156,507,620.25
  5. Step 5: Solve for x
    x = 10,156,507,620.25/78,488
  6. Step 6: Final answer
    x = 129,402.04

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.