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Finding the Third Proportional to 272,770 and 592,196

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Solution

The third proportional to 272,770 and 592,196 is: 1,285,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,770 : 592,196 = 592,196 : x
  2. Step 2: Convert to fraction form
    272,770/592,196 = 592,196/x
  3. Step 3: Cross multiply
    272,770x = 592,196 × 592,196
  4. Step 4: Simplify right side
    272,770x = 350,696,102,416
  5. Step 5: Solve for x
    x = 350,696,102,416/272,770
  6. Step 6: Final answer
    x = 1,285,684.28

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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.