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Finding the Third Proportional to 118,321,408 and 258,418,080

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Solution

The third proportional to 118,321,408 and 258,418,080 is: 564,394,095.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,321,408 : 258,418,080 = 258,418,080 : x
  2. Step 2: Convert to fraction form
    118,321,408/258,418,080 = 258,418,080/x
  3. Step 3: Cross multiply
    118,321,408x = 258,418,080 × 258,418,080
  4. Step 4: Simplify right side
    118,321,408x = 66,779,904,070,886,400
  5. Step 5: Solve for x
    x = 66,779,904,070,886,400/118,321,408
  6. Step 6: Final answer
    x = 564,394,095.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.