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Finding the Third Proportional to 102,125.81 and 219,970.69

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Solution

The third proportional to 102,125.81 and 219,970.69 is: 473,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,125.81 : 219,970.69 = 219,970.69 : x
  2. Step 2: Convert to fraction form
    102,125.81/219,970.69 = 219,970.69/x
  3. Step 3: Cross multiply
    102,125.81x = 219,970.69 × 219,970.69
  4. Step 4: Simplify right side
    102,125.81x = 48,387,103,359.22
  5. Step 5: Solve for x
    x = 48,387,103,359.22/102,125.81
  6. Step 6: Final answer
    x = 473,798.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.