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Finding the Third Proportional to 100,038.50 and 216,685

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Solution

The third proportional to 100,038.50 and 216,685 is: 469,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,038.50 : 216,685 = 216,685 : x
  2. Step 2: Convert to fraction form
    100,038.50/216,685 = 216,685/x
  3. Step 3: Cross multiply
    100,038.50x = 216,685 × 216,685
  4. Step 4: Simplify right side
    100,038.50x = 46,952,389,225
  5. Step 5: Solve for x
    x = 46,952,389,225/100,038.50
  6. Step 6: Final answer
    x = 469,343.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.