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Finding the Third Proportional to 66,088 and 137,646

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Solution

The third proportional to 66,088 and 137,646 is: 286,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,088 : 137,646 = 137,646 : x
  2. Step 2: Convert to fraction form
    66,088/137,646 = 137,646/x
  3. Step 3: Cross multiply
    66,088x = 137,646 × 137,646
  4. Step 4: Simplify right side
    66,088x = 18,946,421,316
  5. Step 5: Solve for x
    x = 18,946,421,316/66,088
  6. Step 6: Final answer
    x = 286,684.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.