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Finding the Third Proportional to 367,428 and 520,054

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Solution

The third proportional to 367,428 and 520,054 is: 736,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,428 : 520,054 = 520,054 : x
  2. Step 2: Convert to fraction form
    367,428/520,054 = 520,054/x
  3. Step 3: Cross multiply
    367,428x = 520,054 × 520,054
  4. Step 4: Simplify right side
    367,428x = 270,456,162,916
  5. Step 5: Solve for x
    x = 270,456,162,916/367,428
  6. Step 6: Final answer
    x = 736,079.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.