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Finding the Third Proportional to 399,284 and 598,310

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Solution

The third proportional to 399,284 and 598,310 is: 896,541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,284 : 598,310 = 598,310 : x
  2. Step 2: Convert to fraction form
    399,284/598,310 = 598,310/x
  3. Step 3: Cross multiply
    399,284x = 598,310 × 598,310
  4. Step 4: Simplify right side
    399,284x = 357,974,856,100
  5. Step 5: Solve for x
    x = 357,974,856,100/399,284
  6. Step 6: Final answer
    x = 896,541.95

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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.