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Finding the Third Proportional to 121,692,963.75 and 286,983,256.75

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Solution

The third proportional to 121,692,963.75 and 286,983,256.75 is: 676,780,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,692,963.75 : 286,983,256.75 = 286,983,256.75 : x
  2. Step 2: Convert to fraction form
    121,692,963.75/286,983,256.75 = 286,983,256.75/x
  3. Step 3: Cross multiply
    121,692,963.75x = 286,983,256.75 × 286,983,256.75
  4. Step 4: Simplify right side
    121,692,963.75x = 82,359,389,654,836,416
  5. Step 5: Solve for x
    x = 82,359,389,654,836,416/121,692,963.75
  6. Step 6: Final answer
    x = 676,780,210.76

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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.