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Finding the Third Proportional to 98,972.50 and 215,807.75

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Solution

The third proportional to 98,972.50 and 215,807.75 is: 470,564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,972.50 : 215,807.75 = 215,807.75 : x
  2. Step 2: Convert to fraction form
    98,972.50/215,807.75 = 215,807.75/x
  3. Step 3: Cross multiply
    98,972.50x = 215,807.75 × 215,807.75
  4. Step 4: Simplify right side
    98,972.50x = 46,572,984,960.06
  5. Step 5: Solve for x
    x = 46,572,984,960.06/98,972.50
  6. Step 6: Final answer
    x = 470,564.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.