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Finding the Third Proportional to 78,925,056 and 172,192,656

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Solution

The third proportional to 78,925,056 and 172,192,656 is: 375,676,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,925,056 : 172,192,656 = 172,192,656 : x
  2. Step 2: Convert to fraction form
    78,925,056/172,192,656 = 172,192,656/x
  3. Step 3: Cross multiply
    78,925,056x = 172,192,656 × 172,192,656
  4. Step 4: Simplify right side
    78,925,056x = 29,650,310,780,334,336
  5. Step 5: Solve for x
    x = 29,650,310,780,334,336/78,925,056
  6. Step 6: Final answer
    x = 375,676,778.49

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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.