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Finding the Third Proportional to 292,649,847 and 398,607,002.25

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Solution

The third proportional to 292,649,847 and 398,607,002.25 is: 542,927,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,649,847 : 398,607,002.25 = 398,607,002.25 : x
  2. Step 2: Convert to fraction form
    292,649,847/398,607,002.25 = 398,607,002.25/x
  3. Step 3: Cross multiply
    292,649,847x = 398,607,002.25 × 398,607,002.25
  4. Step 4: Simplify right side
    292,649,847x = 158,887,542,242,731,520
  5. Step 5: Solve for x
    x = 158,887,542,242,731,520/292,649,847
  6. Step 6: Final answer
    x = 542,927,132.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.