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Finding the Third Proportional to 258,768 and 392,817

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Solution

The third proportional to 258,768 and 392,817 is: 596,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,768 : 392,817 = 392,817 : x
  2. Step 2: Convert to fraction form
    258,768/392,817 = 392,817/x
  3. Step 3: Cross multiply
    258,768x = 392,817 × 392,817
  4. Step 4: Simplify right side
    258,768x = 154,305,195,489
  5. Step 5: Solve for x
    x = 154,305,195,489/258,768
  6. Step 6: Final answer
    x = 596,307.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.