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Finding the Third Proportional to 100,649,220.75 and 220,138,715.25

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Solution

The third proportional to 100,649,220.75 and 220,138,715.25 is: 481,484,641.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,649,220.75 : 220,138,715.25 = 220,138,715.25 : x
  2. Step 2: Convert to fraction form
    100,649,220.75/220,138,715.25 = 220,138,715.25/x
  3. Step 3: Cross multiply
    100,649,220.75x = 220,138,715.25 × 220,138,715.25
  4. Step 4: Simplify right side
    100,649,220.75x = 48,461,053,951,920,584
  5. Step 5: Solve for x
    x = 48,461,053,951,920,584/100,649,220.75
  6. Step 6: Final answer
    x = 481,484,641.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.