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Finding the Third Proportional to 268,386 and 578,806

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Solution

The third proportional to 268,386 and 578,806 is: 1,248,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,386 : 578,806 = 578,806 : x
  2. Step 2: Convert to fraction form
    268,386/578,806 = 578,806/x
  3. Step 3: Cross multiply
    268,386x = 578,806 × 578,806
  4. Step 4: Simplify right side
    268,386x = 335,016,385,636
  5. Step 5: Solve for x
    x = 335,016,385,636/268,386
  6. Step 6: Final answer
    x = 1,248,263.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.