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Finding the Third Proportional to 407,574,679 and 861,152,558

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Solution

The third proportional to 407,574,679 and 861,152,558 is: 1,819,503,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,574,679 : 861,152,558 = 861,152,558 : x
  2. Step 2: Convert to fraction form
    407,574,679/861,152,558 = 861,152,558/x
  3. Step 3: Cross multiply
    407,574,679x = 861,152,558 × 861,152,558
  4. Step 4: Simplify right side
    407,574,679x = 741,583,728,149,943,424
  5. Step 5: Solve for x
    x = 741,583,728,149,943,424/407,574,679
  6. Step 6: Final answer
    x = 1,819,503,924.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.