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Finding the Third Proportional to 258,762 and 392,808

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Solution

The third proportional to 258,762 and 392,808 is: 596,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,762 : 392,808 = 392,808 : x
  2. Step 2: Convert to fraction form
    258,762/392,808 = 392,808/x
  3. Step 3: Cross multiply
    258,762x = 392,808 × 392,808
  4. Step 4: Simplify right side
    258,762x = 154,298,124,864
  5. Step 5: Solve for x
    x = 154,298,124,864/258,762
  6. Step 6: Final answer
    x = 596,293.60

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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.