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Finding the Third Proportional to 77,747,555 and 170,139,265

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Solution

The third proportional to 77,747,555 and 170,139,265 is: 372,325,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,747,555 : 170,139,265 = 170,139,265 : x
  2. Step 2: Convert to fraction form
    77,747,555/170,139,265 = 170,139,265/x
  3. Step 3: Cross multiply
    77,747,555x = 170,139,265 × 170,139,265
  4. Step 4: Simplify right side
    77,747,555x = 28,947,369,494,740,224
  5. Step 5: Solve for x
    x = 28,947,369,494,740,224/77,747,555
  6. Step 6: Final answer
    x = 372,325,142.50

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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.