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Finding the Third Proportional to 77,738,496 and 170,121,216

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Solution

The third proportional to 77,738,496 and 170,121,216 is: 372,289,529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,738,496 : 170,121,216 = 170,121,216 : x
  2. Step 2: Convert to fraction form
    77,738,496/170,121,216 = 170,121,216/x
  3. Step 3: Cross multiply
    77,738,496x = 170,121,216 × 170,121,216
  4. Step 4: Simplify right side
    77,738,496x = 28,941,228,133,318,656
  5. Step 5: Solve for x
    x = 28,941,228,133,318,656/77,738,496
  6. Step 6: Final answer
    x = 372,289,529.93

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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.