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Finding the Third Proportional to 172,341 and 364,553

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Solution

The third proportional to 172,341 and 364,553 is: 771,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,341 : 364,553 = 364,553 : x
  2. Step 2: Convert to fraction form
    172,341/364,553 = 364,553/x
  3. Step 3: Cross multiply
    172,341x = 364,553 × 364,553
  4. Step 4: Simplify right side
    172,341x = 132,898,889,809
  5. Step 5: Solve for x
    x = 132,898,889,809/172,341
  6. Step 6: Final answer
    x = 771,139.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.