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Finding the Third Proportional to 317,975,789 and 478,555,820

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Solution

The third proportional to 317,975,789 and 478,555,820 is: 720,229,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,975,789 : 478,555,820 = 478,555,820 : x
  2. Step 2: Convert to fraction form
    317,975,789/478,555,820 = 478,555,820/x
  3. Step 3: Cross multiply
    317,975,789x = 478,555,820 × 478,555,820
  4. Step 4: Simplify right side
    317,975,789x = 229,015,672,855,872,384
  5. Step 5: Solve for x
    x = 229,015,672,855,872,384/317,975,789
  6. Step 6: Final answer
    x = 720,229,906.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.