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Finding the Third Proportional to 389.57 and 598.76

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Solution

The third proportional to 389.57 and 598.76 is: 920.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.57 : 598.76 = 598.76 : x
  2. Step 2: Convert to fraction form
    389.57/598.76 = 598.76/x
  3. Step 3: Cross multiply
    389.57x = 598.76 × 598.76
  4. Step 4: Simplify right side
    389.57x = 358,510.92
  5. Step 5: Solve for x
    x = 358,510.92/389.57
  6. Step 6: Final answer
    x = 920.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.