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Finding the Third Proportional to 259,020,134.44 and 398,534,499

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Solution

The third proportional to 259,020,134.44 and 398,534,499 is: 613,194,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,020,134.44 : 398,534,499 = 398,534,499 : x
  2. Step 2: Convert to fraction form
    259,020,134.44/398,534,499 = 398,534,499/x
  3. Step 3: Cross multiply
    259,020,134.44x = 398,534,499 × 398,534,499
  4. Step 4: Simplify right side
    259,020,134.44x = 158,829,746,893,180,992
  5. Step 5: Solve for x
    x = 158,829,746,893,180,992/259,020,134.44
  6. Step 6: Final answer
    x = 613,194,596.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.