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Finding the Third Proportional to 305,718 and 658,304

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Solution

The third proportional to 305,718 and 658,304 is: 1,417,529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,718 : 658,304 = 658,304 : x
  2. Step 2: Convert to fraction form
    305,718/658,304 = 658,304/x
  3. Step 3: Cross multiply
    305,718x = 658,304 × 658,304
  4. Step 4: Simplify right side
    305,718x = 433,364,156,416
  5. Step 5: Solve for x
    x = 433,364,156,416/305,718
  6. Step 6: Final answer
    x = 1,417,529.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.