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Finding the Third Proportional to 121,692,969 and 286,983,269

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Solution

The third proportional to 121,692,969 and 286,983,269 is: 676,780,239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,692,969 : 286,983,269 = 286,983,269 : x
  2. Step 2: Convert to fraction form
    121,692,969/286,983,269 = 286,983,269/x
  3. Step 3: Cross multiply
    121,692,969x = 286,983,269 × 286,983,269
  4. Step 4: Simplify right side
    121,692,969x = 82,359,396,685,926,368
  5. Step 5: Solve for x
    x = 82,359,396,685,926,368/121,692,969
  6. Step 6: Final answer
    x = 676,780,239.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.