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Finding the Third Proportional to 100,695,787.50 and 216,885,786.50

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Solution

The third proportional to 100,695,787.50 and 216,885,786.50 is: 467,144,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,695,787.50 : 216,885,786.50 = 216,885,786.50 : x
  2. Step 2: Convert to fraction form
    100,695,787.50/216,885,786.50 = 216,885,786.50/x
  3. Step 3: Cross multiply
    100,695,787.50x = 216,885,786.50 × 216,885,786.50
  4. Step 4: Simplify right side
    100,695,787.50x = 47,039,444,385,723,584
  5. Step 5: Solve for x
    x = 47,039,444,385,723,584/100,695,787.50
  6. Step 6: Final answer
    x = 467,144,113.51

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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.