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Finding the Third Proportional to 205,623 and 306,729

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Solution

The third proportional to 205,623 and 306,729 is: 457,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,623 : 306,729 = 306,729 : x
  2. Step 2: Convert to fraction form
    205,623/306,729 = 306,729/x
  3. Step 3: Cross multiply
    205,623x = 306,729 × 306,729
  4. Step 4: Simplify right side
    205,623x = 94,082,679,441
  5. Step 5: Solve for x
    x = 94,082,679,441/205,623
  6. Step 6: Final answer
    x = 457,549.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.