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Finding the Third Proportional to 205,287,981 and 425,127,436.50

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Solution

The third proportional to 205,287,981 and 425,127,436.50 is: 880,389,277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,287,981 : 425,127,436.50 = 425,127,436.50 : x
  2. Step 2: Convert to fraction form
    205,287,981/425,127,436.50 = 425,127,436.50/x
  3. Step 3: Cross multiply
    205,287,981x = 425,127,436.50 × 425,127,436.50
  4. Step 4: Simplify right side
    205,287,981x = 180,733,337,265,061,536
  5. Step 5: Solve for x
    x = 180,733,337,265,061,536/205,287,981
  6. Step 6: Final answer
    x = 880,389,277.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.