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Finding the Third Proportional to 392,280 and 608,508

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Solution

The third proportional to 392,280 and 608,508 is: 943,922.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,280 : 608,508 = 608,508 : x
  2. Step 2: Convert to fraction form
    392,280/608,508 = 608,508/x
  3. Step 3: Cross multiply
    392,280x = 608,508 × 608,508
  4. Step 4: Simplify right side
    392,280x = 370,281,986,064
  5. Step 5: Solve for x
    x = 370,281,986,064/392,280
  6. Step 6: Final answer
    x = 943,922.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.