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Finding the Third Proportional to 127,274 and 287,553

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Solution

The third proportional to 127,274 and 287,553 is: 649,674.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,274 : 287,553 = 287,553 : x
  2. Step 2: Convert to fraction form
    127,274/287,553 = 287,553/x
  3. Step 3: Cross multiply
    127,274x = 287,553 × 287,553
  4. Step 4: Simplify right side
    127,274x = 82,686,727,809
  5. Step 5: Solve for x
    x = 82,686,727,809/127,274
  6. Step 6: Final answer
    x = 649,674.94

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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.