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Finding the Third Proportional to 221,836,308.75 and 478,747,237.50

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Solution

The third proportional to 221,836,308.75 and 478,747,237.50 is: 1,033,189,376.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,836,308.75 : 478,747,237.50 = 478,747,237.50 : x
  2. Step 2: Convert to fraction form
    221,836,308.75/478,747,237.50 = 478,747,237.50/x
  3. Step 3: Cross multiply
    221,836,308.75x = 478,747,237.50 × 478,747,237.50
  4. Step 4: Simplify right side
    221,836,308.75x = 229,198,917,413,881,408
  5. Step 5: Solve for x
    x = 229,198,917,413,881,408/221,836,308.75
  6. Step 6: Final answer
    x = 1,033,189,376.01

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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.