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Finding the Third Proportional to 369,587,947.50 and 811,451,871

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Solution

The third proportional to 369,587,947.50 and 811,451,871 is: 1,781,589,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,587,947.50 : 811,451,871 = 811,451,871 : x
  2. Step 2: Convert to fraction form
    369,587,947.50/811,451,871 = 811,451,871/x
  3. Step 3: Cross multiply
    369,587,947.50x = 811,451,871 × 811,451,871
  4. Step 4: Simplify right side
    369,587,947.50x = 658,454,138,949,400,704
  5. Step 5: Solve for x
    x = 658,454,138,949,400,704/369,587,947.50
  6. Step 6: Final answer
    x = 1,781,589,858.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.