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Finding the Third Proportional to 390,358 and 582,288

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Solution

The third proportional to 390,358 and 582,288 is: 868,585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,358 : 582,288 = 582,288 : x
  2. Step 2: Convert to fraction form
    390,358/582,288 = 582,288/x
  3. Step 3: Cross multiply
    390,358x = 582,288 × 582,288
  4. Step 4: Simplify right side
    390,358x = 339,059,314,944
  5. Step 5: Solve for x
    x = 339,059,314,944/390,358
  6. Step 6: Final answer
    x = 868,585.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.