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Finding the Third Proportional to 77,878,284 and 121,065,309

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Solution

The third proportional to 77,878,284 and 121,065,309 is: 188,201,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,878,284 : 121,065,309 = 121,065,309 : x
  2. Step 2: Convert to fraction form
    77,878,284/121,065,309 = 121,065,309/x
  3. Step 3: Cross multiply
    77,878,284x = 121,065,309 × 121,065,309
  4. Step 4: Simplify right side
    77,878,284x = 14,656,809,043,265,480
  5. Step 5: Solve for x
    x = 14,656,809,043,265,480/77,878,284
  6. Step 6: Final answer
    x = 188,201,489.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.