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Finding the Third Proportional to 391,612,448.81 and 587,418,743.06

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Solution

The third proportional to 391,612,448.81 and 587,418,743.06 is: 881,128,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,612,448.81 : 587,418,743.06 = 587,418,743.06 : x
  2. Step 2: Convert to fraction form
    391,612,448.81/587,418,743.06 = 587,418,743.06/x
  3. Step 3: Cross multiply
    391,612,448.81x = 587,418,743.06 × 587,418,743.06
  4. Step 4: Simplify right side
    391,612,448.81x = 345,060,779,701,127,360
  5. Step 5: Solve for x
    x = 345,060,779,701,127,360/391,612,448.81
  6. Step 6: Final answer
    x = 881,128,219.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.