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Finding the Third Proportional to 258,832 and 390,072

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Solution

The third proportional to 258,832 and 390,072 is: 587,856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,832 : 390,072 = 390,072 : x
  2. Step 2: Convert to fraction form
    258,832/390,072 = 390,072/x
  3. Step 3: Cross multiply
    258,832x = 390,072 × 390,072
  4. Step 4: Simplify right side
    258,832x = 152,156,165,184
  5. Step 5: Solve for x
    x = 152,156,165,184/258,832
  6. Step 6: Final answer
    x = 587,856.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.