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Finding the Third Proportional to 936.50 and 1,553

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Solution

The third proportional to 936.50 and 1,553 is: 2,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.50 : 1,553 = 1,553 : x
  2. Step 2: Convert to fraction form
    936.50/1,553 = 1,553/x
  3. Step 3: Cross multiply
    936.50x = 1,553 × 1,553
  4. Step 4: Simplify right side
    936.50x = 2,411,809
  5. Step 5: Solve for x
    x = 2,411,809/936.50
  6. Step 6: Final answer
    x = 2,575.34

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.