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Finding the Third Proportional to 77,292,458 and 166,690,888

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Solution

The third proportional to 77,292,458 and 166,690,888 is: 359,489,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,292,458 : 166,690,888 = 166,690,888 : x
  2. Step 2: Convert to fraction form
    77,292,458/166,690,888 = 166,690,888/x
  3. Step 3: Cross multiply
    77,292,458x = 166,690,888 × 166,690,888
  4. Step 4: Simplify right side
    77,292,458x = 27,785,852,142,228,544
  5. Step 5: Solve for x
    x = 27,785,852,142,228,544/77,292,458
  6. Step 6: Final answer
    x = 359,489,824.25

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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.