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Finding the Third Proportional to 121,278,447 and 186,601,846.50

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Solution

The third proportional to 121,278,447 and 186,601,846.50 is: 287,109,952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,278,447 : 186,601,846.50 = 186,601,846.50 : x
  2. Step 2: Convert to fraction form
    121,278,447/186,601,846.50 = 186,601,846.50/x
  3. Step 3: Cross multiply
    121,278,447x = 186,601,846.50 × 186,601,846.50
  4. Step 4: Simplify right side
    121,278,447x = 34,820,249,117,209,564
  5. Step 5: Solve for x
    x = 34,820,249,117,209,564/121,278,447
  6. Step 6: Final answer
    x = 287,109,952.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.