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Finding the Third Proportional to 376,948 and 528,290

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Solution

The third proportional to 376,948 and 528,290 is: 740,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,948 : 528,290 = 528,290 : x
  2. Step 2: Convert to fraction form
    376,948/528,290 = 528,290/x
  3. Step 3: Cross multiply
    376,948x = 528,290 × 528,290
  4. Step 4: Simplify right side
    376,948x = 279,090,324,100
  5. Step 5: Solve for x
    x = 279,090,324,100/376,948
  6. Step 6: Final answer
    x = 740,394.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.