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Finding the Third Proportional to 77,747,557 and 170,139,269

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Solution

The third proportional to 77,747,557 and 170,139,269 is: 372,325,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,747,557 : 170,139,269 = 170,139,269 : x
  2. Step 2: Convert to fraction form
    77,747,557/170,139,269 = 170,139,269/x
  3. Step 3: Cross multiply
    77,747,557x = 170,139,269 × 170,139,269
  4. Step 4: Simplify right side
    77,747,557x = 28,947,370,855,854,360
  5. Step 5: Solve for x
    x = 28,947,370,855,854,360/77,747,557
  6. Step 6: Final answer
    x = 372,325,150.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.