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Finding the Third Proportional to 156,943,289 and 258,423,541

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Solution

The third proportional to 156,943,289 and 258,423,541 is: 425,521,390.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,943,289 : 258,423,541 = 258,423,541 : x
  2. Step 2: Convert to fraction form
    156,943,289/258,423,541 = 258,423,541/x
  3. Step 3: Cross multiply
    156,943,289x = 258,423,541 × 258,423,541
  4. Step 4: Simplify right side
    156,943,289x = 66,782,726,542,978,680
  5. Step 5: Solve for x
    x = 66,782,726,542,978,680/156,943,289
  6. Step 6: Final answer
    x = 425,521,390.36

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.