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Finding the Third Proportional to 532.63 and 1,152.13

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Solution

The third proportional to 532.63 and 1,152.13 is: 2,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.63 : 1,152.13 = 1,152.13 : x
  2. Step 2: Convert to fraction form
    532.63/1,152.13 = 1,152.13/x
  3. Step 3: Cross multiply
    532.63x = 1,152.13 × 1,152.13
  4. Step 4: Simplify right side
    532.63x = 1,327,392.02
  5. Step 5: Solve for x
    x = 1,327,392.02/532.63
  6. Step 6: Final answer
    x = 2,492.17

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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.