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Finding the Third Proportional to 296.16 and 436.64

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Solution

The third proportional to 296.16 and 436.64 is: 643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.16 : 436.64 = 436.64 : x
  2. Step 2: Convert to fraction form
    296.16/436.64 = 436.64/x
  3. Step 3: Cross multiply
    296.16x = 436.64 × 436.64
  4. Step 4: Simplify right side
    296.16x = 190,655.04
  5. Step 5: Solve for x
    x = 190,655.04/296.16
  6. Step 6: Final answer
    x = 643.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.