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Finding the Third Proportional to 142,815,479 and 197,338,548.25

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Solution

The third proportional to 142,815,479 and 197,338,548.25 is: 272,677,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,815,479 : 197,338,548.25 = 197,338,548.25 : x
  2. Step 2: Convert to fraction form
    142,815,479/197,338,548.25 = 197,338,548.25/x
  3. Step 3: Cross multiply
    142,815,479x = 197,338,548.25 × 197,338,548.25
  4. Step 4: Simplify right side
    142,815,479x = 38,942,502,625,417,576
  5. Step 5: Solve for x
    x = 38,942,502,625,417,576/142,815,479
  6. Step 6: Final answer
    x = 272,677,043.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.