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Finding the Third Proportional to 258,480,882 and 387,985,707

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Solution

The third proportional to 258,480,882 and 387,985,707 is: 582,375,406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,480,882 : 387,985,707 = 387,985,707 : x
  2. Step 2: Convert to fraction form
    258,480,882/387,985,707 = 387,985,707/x
  3. Step 3: Cross multiply
    258,480,882x = 387,985,707 × 387,985,707
  4. Step 4: Simplify right side
    258,480,882x = 150,532,908,836,289,856
  5. Step 5: Solve for x
    x = 150,532,908,836,289,856/258,480,882
  6. Step 6: Final answer
    x = 582,375,406.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.