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Finding the Third Proportional to 142,328 and 218,316

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Solution

The third proportional to 142,328 and 218,316 is: 334,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,328 : 218,316 = 218,316 : x
  2. Step 2: Convert to fraction form
    142,328/218,316 = 218,316/x
  3. Step 3: Cross multiply
    142,328x = 218,316 × 218,316
  4. Step 4: Simplify right side
    142,328x = 47,661,875,856
  5. Step 5: Solve for x
    x = 47,661,875,856/142,328
  6. Step 6: Final answer
    x = 334,873.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.