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Finding the Third Proportional to 121,762,934 and 265,853,138

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Solution

The third proportional to 121,762,934 and 265,853,138 is: 580,454,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,762,934 : 265,853,138 = 265,853,138 : x
  2. Step 2: Convert to fraction form
    121,762,934/265,853,138 = 265,853,138/x
  3. Step 3: Cross multiply
    121,762,934x = 265,853,138 × 265,853,138
  4. Step 4: Simplify right side
    121,762,934x = 70,677,890,984,447,040
  5. Step 5: Solve for x
    x = 70,677,890,984,447,040/121,762,934
  6. Step 6: Final answer
    x = 580,454,894.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.