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Finding the Third Proportional to 548,323 and 817,919

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Solution

The third proportional to 548,323 and 817,919 is: 1,220,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,323 : 817,919 = 817,919 : x
  2. Step 2: Convert to fraction form
    548,323/817,919 = 817,919/x
  3. Step 3: Cross multiply
    548,323x = 817,919 × 817,919
  4. Step 4: Simplify right side
    548,323x = 668,991,490,561
  5. Step 5: Solve for x
    x = 668,991,490,561/548,323
  6. Step 6: Final answer
    x = 1,220,068.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.