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Finding the Third Proportional to 121,692,966 and 286,983,261

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Solution

The third proportional to 121,692,966 and 286,983,261 is: 676,780,218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,692,966 : 286,983,261 = 286,983,261 : x
  2. Step 2: Convert to fraction form
    121,692,966/286,983,261 = 286,983,261/x
  3. Step 3: Cross multiply
    121,692,966x = 286,983,261 × 286,983,261
  4. Step 4: Simplify right side
    121,692,966x = 82,359,392,094,194,128
  5. Step 5: Solve for x
    x = 82,359,392,094,194,128/121,692,966
  6. Step 6: Final answer
    x = 676,780,218.29

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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.