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Finding the Third Proportional to 77,494,587,988 and 121,300,195,746

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Solution

The third proportional to 77,494,587,988 and 121,300,195,746 is: 189,867,936,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,494,587,988 : 121,300,195,746 = 121,300,195,746 : x
  2. Step 2: Convert to fraction form
    77,494,587,988/121,300,195,746 = 121,300,195,746/x
  3. Step 3: Cross multiply
    77,494,587,988x = 121,300,195,746 × 121,300,195,746
  4. Step 4: Simplify right side
    77,494,587,988x = 14,713,737,488,017,915,904,000
  5. Step 5: Solve for x
    x = 14,713,737,488,017,915,904,000/77,494,587,988
  6. Step 6: Final answer
    x = 189,867,936,200.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.