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Finding the Third Proportional to 340,645.50 and 528,948

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Solution

The third proportional to 340,645.50 and 528,948 is: 821,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,645.50 : 528,948 = 528,948 : x
  2. Step 2: Convert to fraction form
    340,645.50/528,948 = 528,948/x
  3. Step 3: Cross multiply
    340,645.50x = 528,948 × 528,948
  4. Step 4: Simplify right side
    340,645.50x = 279,785,986,704
  5. Step 5: Solve for x
    x = 279,785,986,704/340,645.50
  6. Step 6: Final answer
    x = 821,340.62

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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.