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Finding the Third Proportional to 172,309 and 386,714

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Solution

The third proportional to 172,309 and 386,714 is: 867,904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,309 : 386,714 = 386,714 : x
  2. Step 2: Convert to fraction form
    172,309/386,714 = 386,714/x
  3. Step 3: Cross multiply
    172,309x = 386,714 × 386,714
  4. Step 4: Simplify right side
    172,309x = 149,547,717,796
  5. Step 5: Solve for x
    x = 149,547,717,796/172,309
  6. Step 6: Final answer
    x = 867,904.28

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.