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Finding the Third Proportional to 121,692,965.63 and 286,983,261.56

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Solution

The third proportional to 121,692,965.63 and 286,983,261.56 is: 676,780,223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,692,965.63 : 286,983,261.56 = 286,983,261.56 : x
  2. Step 2: Convert to fraction form
    121,692,965.63/286,983,261.56 = 286,983,261.56/x
  3. Step 3: Cross multiply
    121,692,965.63x = 286,983,261.56 × 286,983,261.56
  4. Step 4: Simplify right side
    121,692,965.63x = 82,359,392,417,050,288
  5. Step 5: Solve for x
    x = 82,359,392,417,050,288/121,692,965.63
  6. Step 6: Final answer
    x = 676,780,223.03

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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.