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Finding the Third Proportional to 151,988 and 260,786

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Solution

The third proportional to 151,988 and 260,786 is: 447,465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,988 : 260,786 = 260,786 : x
  2. Step 2: Convert to fraction form
    151,988/260,786 = 260,786/x
  3. Step 3: Cross multiply
    151,988x = 260,786 × 260,786
  4. Step 4: Simplify right side
    151,988x = 68,009,337,796
  5. Step 5: Solve for x
    x = 68,009,337,796/151,988
  6. Step 6: Final answer
    x = 447,465.18

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.