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Finding the Third Proportional to 129,700 and 238,088

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Solution

The third proportional to 129,700 and 238,088 is: 437,053.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,700 : 238,088 = 238,088 : x
  2. Step 2: Convert to fraction form
    129,700/238,088 = 238,088/x
  3. Step 3: Cross multiply
    129,700x = 238,088 × 238,088
  4. Step 4: Simplify right side
    129,700x = 56,685,895,744
  5. Step 5: Solve for x
    x = 56,685,895,744/129,700
  6. Step 6: Final answer
    x = 437,053.94

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.