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Finding the Third Proportional to 127,266 and 287,533

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Solution

The third proportional to 127,266 and 287,533 is: 649,625.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,266 : 287,533 = 287,533 : x
  2. Step 2: Convert to fraction form
    127,266/287,533 = 287,533/x
  3. Step 3: Cross multiply
    127,266x = 287,533 × 287,533
  4. Step 4: Simplify right side
    127,266x = 82,675,226,089
  5. Step 5: Solve for x
    x = 82,675,226,089/127,266
  6. Step 6: Final answer
    x = 649,625.40

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.