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Finding the Third Proportional to 171,438,968 and 258,752,780

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Solution

The third proportional to 171,438,968 and 258,752,780 is: 390,535,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,438,968 : 258,752,780 = 258,752,780 : x
  2. Step 2: Convert to fraction form
    171,438,968/258,752,780 = 258,752,780/x
  3. Step 3: Cross multiply
    171,438,968x = 258,752,780 × 258,752,780
  4. Step 4: Simplify right side
    171,438,968x = 66,953,001,157,728,400
  5. Step 5: Solve for x
    x = 66,953,001,157,728,400/171,438,968
  6. Step 6: Final answer
    x = 390,535,488.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.