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Finding the Third Proportional to 77,941,514.83 and 108,966,824.36

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Solution

The third proportional to 77,941,514.83 and 108,966,824.36 is: 152,342,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,941,514.83 : 108,966,824.36 = 108,966,824.36 : x
  2. Step 2: Convert to fraction form
    77,941,514.83/108,966,824.36 = 108,966,824.36/x
  3. Step 3: Cross multiply
    77,941,514.83x = 108,966,824.36 × 108,966,824.36
  4. Step 4: Simplify right side
    77,941,514.83x = 11,873,768,810,754,396
  5. Step 5: Solve for x
    x = 11,873,768,810,754,396/77,941,514.83
  6. Step 6: Final answer
    x = 152,342,032.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.