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Finding the Third Proportional to 77,941,548 and 108,966,878

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Solution

The third proportional to 77,941,548 and 108,966,878 is: 152,342,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,941,548 : 108,966,878 = 108,966,878 : x
  2. Step 2: Convert to fraction form
    77,941,548/108,966,878 = 108,966,878/x
  3. Step 3: Cross multiply
    77,941,548x = 108,966,878 × 108,966,878
  4. Step 4: Simplify right side
    77,941,548x = 11,873,780,501,066,884
  5. Step 5: Solve for x
    x = 11,873,780,501,066,884/77,941,548
  6. Step 6: Final answer
    x = 152,342,117.98

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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.