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Finding the Third Proportional to 78,490,023,596 and 117,706,207,800

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Solution

The third proportional to 78,490,023,596 and 117,706,207,800 is: 176,516,080,896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,490,023,596 : 117,706,207,800 = 117,706,207,800 : x
  2. Step 2: Convert to fraction form
    78,490,023,596/117,706,207,800 = 117,706,207,800/x
  3. Step 3: Cross multiply
    78,490,023,596x = 117,706,207,800 × 117,706,207,800
  4. Step 4: Simplify right side
    78,490,023,596x = 13,854,751,354,656,781,238,272
  5. Step 5: Solve for x
    x = 13,854,751,354,656,781,238,272/78,490,023,596
  6. Step 6: Final answer
    x = 176,516,080,896.72

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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.