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Finding the Third Proportional to 117.07 and 253.60

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Solution

The third proportional to 117.07 and 253.60 is: 549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.07 : 253.60 = 253.60 : x
  2. Step 2: Convert to fraction form
    117.07/253.60 = 253.60/x
  3. Step 3: Cross multiply
    117.07x = 253.60 × 253.60
  4. Step 4: Simplify right side
    117.07x = 64,312.76
  5. Step 5: Solve for x
    x = 64,312.76/117.07
  6. Step 6: Final answer
    x = 549.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.