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Finding the Third Proportional to 217,530,300 and 345,016,566

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Solution

The third proportional to 217,530,300 and 345,016,566 is: 547,217,701.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,530,300 : 345,016,566 = 345,016,566 : x
  2. Step 2: Convert to fraction form
    217,530,300/345,016,566 = 345,016,566/x
  3. Step 3: Cross multiply
    217,530,300x = 345,016,566 × 345,016,566
  4. Step 4: Simplify right side
    217,530,300x = 119,036,430,814,432,352
  5. Step 5: Solve for x
    x = 119,036,430,814,432,352/217,530,300
  6. Step 6: Final answer
    x = 547,217,701.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.