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Finding the Third Proportional to 70,478,976 and 144,752,448

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Solution

The third proportional to 70,478,976 and 144,752,448 is: 297,298,178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,478,976 : 144,752,448 = 144,752,448 : x
  2. Step 2: Convert to fraction form
    70,478,976/144,752,448 = 144,752,448/x
  3. Step 3: Cross multiply
    70,478,976x = 144,752,448 × 144,752,448
  4. Step 4: Simplify right side
    70,478,976x = 20,953,271,201,992,704
  5. Step 5: Solve for x
    x = 20,953,271,201,992,704/70,478,976
  6. Step 6: Final answer
    x = 297,298,178.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.