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Finding the Third Proportional to 615,521 and 920,821

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Solution

The third proportional to 615,521 and 920,821 is: 1,377,550.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,521 : 920,821 = 920,821 : x
  2. Step 2: Convert to fraction form
    615,521/920,821 = 920,821/x
  3. Step 3: Cross multiply
    615,521x = 920,821 × 920,821
  4. Step 4: Simplify right side
    615,521x = 847,911,314,041
  5. Step 5: Solve for x
    x = 847,911,314,041/615,521
  6. Step 6: Final answer
    x = 1,377,550.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.