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Finding the Third Proportional to 152,409 and 205,587

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Solution

The third proportional to 152,409 and 205,587 is: 277,319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,409 : 205,587 = 205,587 : x
  2. Step 2: Convert to fraction form
    152,409/205,587 = 205,587/x
  3. Step 3: Cross multiply
    152,409x = 205,587 × 205,587
  4. Step 4: Simplify right side
    152,409x = 42,266,014,569
  5. Step 5: Solve for x
    x = 42,266,014,569/152,409
  6. Step 6: Final answer
    x = 277,319.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.