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Finding the Third Proportional to 106,062,396 and 163,633,448

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Solution

The third proportional to 106,062,396 and 163,633,448 is: 252,454,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,062,396 : 163,633,448 = 163,633,448 : x
  2. Step 2: Convert to fraction form
    106,062,396/163,633,448 = 163,633,448/x
  3. Step 3: Cross multiply
    106,062,396x = 163,633,448 × 163,633,448
  4. Step 4: Simplify right side
    106,062,396x = 26,775,905,304,368,704
  5. Step 5: Solve for x
    x = 26,775,905,304,368,704/106,062,396
  6. Step 6: Final answer
    x = 252,454,275.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.