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Finding the Third Proportional to 78,746,100 and 123,280,242

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Solution

The third proportional to 78,746,100 and 123,280,242 is: 193,000,263.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,746,100 : 123,280,242 = 123,280,242 : x
  2. Step 2: Convert to fraction form
    78,746,100/123,280,242 = 123,280,242/x
  3. Step 3: Cross multiply
    78,746,100x = 123,280,242 × 123,280,242
  4. Step 4: Simplify right side
    78,746,100x = 15,198,018,067,578,564
  5. Step 5: Solve for x
    x = 15,198,018,067,578,564/78,746,100
  6. Step 6: Final answer
    x = 193,000,263.73

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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.