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Finding the Third Proportional to 171,345,818 and 261,036,231

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Solution

The third proportional to 171,345,818 and 261,036,231 is: 397,674,799.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,345,818 : 261,036,231 = 261,036,231 : x
  2. Step 2: Convert to fraction form
    171,345,818/261,036,231 = 261,036,231/x
  3. Step 3: Cross multiply
    171,345,818x = 261,036,231 × 261,036,231
  4. Step 4: Simplify right side
    171,345,818x = 68,139,913,894,685,360
  5. Step 5: Solve for x
    x = 68,139,913,894,685,360/171,345,818
  6. Step 6: Final answer
    x = 397,674,799.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.