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Finding the Third Proportional to 391,254,406.31 and 843,798,211.88

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Solution

The third proportional to 391,254,406.31 and 843,798,211.88 is: 1,819,776,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,254,406.31 : 843,798,211.88 = 843,798,211.88 : x
  2. Step 2: Convert to fraction form
    391,254,406.31/843,798,211.88 = 843,798,211.88/x
  3. Step 3: Cross multiply
    391,254,406.31x = 843,798,211.88 × 843,798,211.88
  4. Step 4: Simplify right side
    391,254,406.31x = 711,995,422,363,447,424
  5. Step 5: Solve for x
    x = 711,995,422,363,447,424/391,254,406.31
  6. Step 6: Final answer
    x = 1,819,776,112.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.