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Finding the Third Proportional to 98,779.50 and 121,545.56

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Solution

The third proportional to 98,779.50 and 121,545.56 is: 149,558.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,779.50 : 121,545.56 = 121,545.56 : x
  2. Step 2: Convert to fraction form
    98,779.50/121,545.56 = 121,545.56/x
  3. Step 3: Cross multiply
    98,779.50x = 121,545.56 × 121,545.56
  4. Step 4: Simplify right side
    98,779.50x = 14,773,323,763.44
  5. Step 5: Solve for x
    x = 14,773,323,763.44/98,779.50
  6. Step 6: Final answer
    x = 149,558.60

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.