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Finding the Third Proportional to 167,198,480 and 258,252,851.50

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Solution

The third proportional to 167,198,480 and 258,252,851.50 is: 398,894,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,198,480 : 258,252,851.50 = 258,252,851.50 : x
  2. Step 2: Convert to fraction form
    167,198,480/258,252,851.50 = 258,252,851.50/x
  3. Step 3: Cross multiply
    167,198,480x = 258,252,851.50 × 258,252,851.50
  4. Step 4: Simplify right side
    167,198,480x = 66,694,535,307,881,056
  5. Step 5: Solve for x
    x = 66,694,535,307,881,056/167,198,480
  6. Step 6: Final answer
    x = 398,894,387.72

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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.