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Finding the Third Proportional to 77,747,553 and 170,139,261

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Solution

The third proportional to 77,747,553 and 170,139,261 is: 372,325,134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,747,553 : 170,139,261 = 170,139,261 : x
  2. Step 2: Convert to fraction form
    77,747,553/170,139,261 = 170,139,261/x
  3. Step 3: Cross multiply
    77,747,553x = 170,139,261 × 170,139,261
  4. Step 4: Simplify right side
    77,747,553x = 28,947,368,133,626,120
  5. Step 5: Solve for x
    x = 28,947,368,133,626,120/77,747,553
  6. Step 6: Final answer
    x = 372,325,134.58

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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.