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Finding the Third Proportional to 268,420.08 and 578,870.61

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Solution

The third proportional to 268,420.08 and 578,870.61 is: 1,248,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,420.08 : 578,870.61 = 578,870.61 : x
  2. Step 2: Convert to fraction form
    268,420.08/578,870.61 = 578,870.61/x
  3. Step 3: Cross multiply
    268,420.08x = 578,870.61 × 578,870.61
  4. Step 4: Simplify right side
    268,420.08x = 335,091,186,920.61
  5. Step 5: Solve for x
    x = 335,091,186,920.61/268,420.08
  6. Step 6: Final answer
    x = 1,248,383.46

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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.