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Finding the Third Proportional to 812,220,823.50 and 1,780,149,709.50

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Solution

The third proportional to 812,220,823.50 and 1,780,149,709.50 is: 3,901,565,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,220,823.50 : 1,780,149,709.50 = 1,780,149,709.50 : x
  2. Step 2: Convert to fraction form
    812,220,823.50/1,780,149,709.50 = 1,780,149,709.50/x
  3. Step 3: Cross multiply
    812,220,823.50x = 1,780,149,709.50 × 1,780,149,709.50
  4. Step 4: Simplify right side
    812,220,823.50x = 3,168,932,988,232,934,400
  5. Step 5: Solve for x
    x = 3,168,932,988,232,934,400/812,220,823.50
  6. Step 6: Final answer
    x = 3,901,565,801.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.