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Finding the Third Proportional to 410,770,116.50 and 913,382,569

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Solution

The third proportional to 410,770,116.50 and 913,382,569 is: 2,030,984,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,770,116.50 : 913,382,569 = 913,382,569 : x
  2. Step 2: Convert to fraction form
    410,770,116.50/913,382,569 = 913,382,569/x
  3. Step 3: Cross multiply
    410,770,116.50x = 913,382,569 × 913,382,569
  4. Step 4: Simplify right side
    410,770,116.50x = 834,267,717,353,039,744
  5. Step 5: Solve for x
    x = 834,267,717,353,039,744/410,770,116.50
  6. Step 6: Final answer
    x = 2,030,984,445.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.