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Finding the Third Proportional to 100,540,816.31 and 216,953,221.50

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Solution

The third proportional to 100,540,816.31 and 216,953,221.50 is: 468,155,143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,540,816.31 : 216,953,221.50 = 216,953,221.50 : x
  2. Step 2: Convert to fraction form
    100,540,816.31/216,953,221.50 = 216,953,221.50/x
  3. Step 3: Cross multiply
    100,540,816.31x = 216,953,221.50 × 216,953,221.50
  4. Step 4: Simplify right side
    100,540,816.31x = 47,068,700,319,228,064
  5. Step 5: Solve for x
    x = 47,068,700,319,228,064/100,540,816.31
  6. Step 6: Final answer
    x = 468,155,143.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.