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Finding the Third Proportional to 77,284,920 and 166,676,388

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Solution

The third proportional to 77,284,920 and 166,676,388 is: 359,462,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,284,920 : 166,676,388 = 166,676,388 : x
  2. Step 2: Convert to fraction form
    77,284,920/166,676,388 = 166,676,388/x
  3. Step 3: Cross multiply
    77,284,920x = 166,676,388 × 166,676,388
  4. Step 4: Simplify right side
    77,284,920x = 27,781,018,316,726,544
  5. Step 5: Solve for x
    x = 27,781,018,316,726,544/77,284,920
  6. Step 6: Final answer
    x = 359,462,341.64

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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.