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Finding the Third Proportional to 205,530,486 and 485,015,167.50

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Solution

The third proportional to 205,530,486 and 485,015,167.50 is: 1,144,549,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,530,486 : 485,015,167.50 = 485,015,167.50 : x
  2. Step 2: Convert to fraction form
    205,530,486/485,015,167.50 = 485,015,167.50/x
  3. Step 3: Cross multiply
    205,530,486x = 485,015,167.50 × 485,015,167.50
  4. Step 4: Simplify right side
    205,530,486x = 235,239,712,705,053,056
  5. Step 5: Solve for x
    x = 235,239,712,705,053,056/205,530,486
  6. Step 6: Final answer
    x = 1,144,549,002.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.