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Finding the Third Proportional to 268,260 and 578,672

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Solution

The third proportional to 268,260 and 578,672 is: 1,248,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,260 : 578,672 = 578,672 : x
  2. Step 2: Convert to fraction form
    268,260/578,672 = 578,672/x
  3. Step 3: Cross multiply
    268,260x = 578,672 × 578,672
  4. Step 4: Simplify right side
    268,260x = 334,861,283,584
  5. Step 5: Solve for x
    x = 334,861,283,584/268,260
  6. Step 6: Final answer
    x = 1,248,271.39

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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.