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Finding the Third Proportional to 172,071 and 371,817

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Solution

The third proportional to 172,071 and 371,817 is: 803,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,071 : 371,817 = 371,817 : x
  2. Step 2: Convert to fraction form
    172,071/371,817 = 371,817/x
  3. Step 3: Cross multiply
    172,071x = 371,817 × 371,817
  4. Step 4: Simplify right side
    172,071x = 138,247,881,489
  5. Step 5: Solve for x
    x = 138,247,881,489/172,071
  6. Step 6: Final answer
    x = 803,435.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.