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Finding the Third Proportional to 69,009 and 147,854

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Solution

The third proportional to 69,009 and 147,854 is: 316,781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,009 : 147,854 = 147,854 : x
  2. Step 2: Convert to fraction form
    69,009/147,854 = 147,854/x
  3. Step 3: Cross multiply
    69,009x = 147,854 × 147,854
  4. Step 4: Simplify right side
    69,009x = 21,860,805,316
  5. Step 5: Solve for x
    x = 21,860,805,316/69,009
  6. Step 6: Final answer
    x = 316,781.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.