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Finding the Third Proportional to 272,070 and 422,316

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Solution

The third proportional to 272,070 and 422,316 is: 655,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,070 : 422,316 = 422,316 : x
  2. Step 2: Convert to fraction form
    272,070/422,316 = 422,316/x
  3. Step 3: Cross multiply
    272,070x = 422,316 × 422,316
  4. Step 4: Simplify right side
    272,070x = 178,350,803,856
  5. Step 5: Solve for x
    x = 178,350,803,856/272,070
  6. Step 6: Final answer
    x = 655,532.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.