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Finding the Third Proportional to 77,292,686 and 166,691,362

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Solution

The third proportional to 77,292,686 and 166,691,362 is: 359,490,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,292,686 : 166,691,362 = 166,691,362 : x
  2. Step 2: Convert to fraction form
    77,292,686/166,691,362 = 166,691,362/x
  3. Step 3: Cross multiply
    77,292,686x = 166,691,362 × 166,691,362
  4. Step 4: Simplify right side
    77,292,686x = 27,786,010,165,415,044
  5. Step 5: Solve for x
    x = 27,786,010,165,415,044/77,292,686
  6. Step 6: Final answer
    x = 359,490,808.29

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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.