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Finding the Third Proportional to 78,001,940 and 169,019,176

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Solution

The third proportional to 78,001,940 and 169,019,176 is: 366,240,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,001,940 : 169,019,176 = 169,019,176 : x
  2. Step 2: Convert to fraction form
    78,001,940/169,019,176 = 169,019,176/x
  3. Step 3: Cross multiply
    78,001,940x = 169,019,176 × 169,019,176
  4. Step 4: Simplify right side
    78,001,940x = 28,567,481,855,718,976
  5. Step 5: Solve for x
    x = 28,567,481,855,718,976/78,001,940
  6. Step 6: Final answer
    x = 366,240,658.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.