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Finding the Third Proportional to 70,618.08 and 98,999.72

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Solution

The third proportional to 70,618.08 and 98,999.72 is: 138,788.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,618.08 : 98,999.72 = 98,999.72 : x
  2. Step 2: Convert to fraction form
    70,618.08/98,999.72 = 98,999.72/x
  3. Step 3: Cross multiply
    70,618.08x = 98,999.72 × 98,999.72
  4. Step 4: Simplify right side
    70,618.08x = 9,800,944,312.58
  5. Step 5: Solve for x
    x = 9,800,944,312.58/70,618.08
  6. Step 6: Final answer
    x = 138,788.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.