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Finding the Third Proportional to 121,692,942 and 257,866,375.50

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Solution

The third proportional to 121,692,942 and 257,866,375.50 is: 546,416,797.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,692,942 : 257,866,375.50 = 257,866,375.50 : x
  2. Step 2: Convert to fraction form
    121,692,942/257,866,375.50 = 257,866,375.50/x
  3. Step 3: Cross multiply
    121,692,942x = 257,866,375.50 × 257,866,375.50
  4. Step 4: Simplify right side
    121,692,942x = 66,495,067,613,507,000
  5. Step 5: Solve for x
    x = 66,495,067,613,507,000/121,692,942
  6. Step 6: Final answer
    x = 546,416,797.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.