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Finding the Third Proportional to 390,580 and 585,872

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Solution

The third proportional to 390,580 and 585,872 is: 878,811.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,580 : 585,872 = 585,872 : x
  2. Step 2: Convert to fraction form
    390,580/585,872 = 585,872/x
  3. Step 3: Cross multiply
    390,580x = 585,872 × 585,872
  4. Step 4: Simplify right side
    390,580x = 343,246,000,384
  5. Step 5: Solve for x
    x = 343,246,000,384/390,580
  6. Step 6: Final answer
    x = 878,811.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.