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Finding the Third Proportional to 221,834,720 and 478,744,548

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Solution

The third proportional to 221,834,720 and 478,744,548 is: 1,033,185,167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,834,720 : 478,744,548 = 478,744,548 : x
  2. Step 2: Convert to fraction form
    221,834,720/478,744,548 = 478,744,548/x
  3. Step 3: Cross multiply
    221,834,720x = 478,744,548 × 478,744,548
  4. Step 4: Simplify right side
    221,834,720x = 229,196,342,239,724,288
  5. Step 5: Solve for x
    x = 229,196,342,239,724,288/221,834,720
  6. Step 6: Final answer
    x = 1,033,185,167.05

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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.