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Finding the Third Proportional to 292,649,845.50 and 398,607,000

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Solution

The third proportional to 292,649,845.50 and 398,607,000 is: 542,927,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,649,845.50 : 398,607,000 = 398,607,000 : x
  2. Step 2: Convert to fraction form
    292,649,845.50/398,607,000 = 398,607,000/x
  3. Step 3: Cross multiply
    292,649,845.50x = 398,607,000 × 398,607,000
  4. Step 4: Simplify right side
    292,649,845.50x = 158,887,540,449,000,000
  5. Step 5: Solve for x
    x = 158,887,540,449,000,000/292,649,845.50
  6. Step 6: Final answer
    x = 542,927,129.10

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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.