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Finding the Third Proportional to 172,985 and 374,402

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Solution

The third proportional to 172,985 and 374,402 is: 810,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,985 : 374,402 = 374,402 : x
  2. Step 2: Convert to fraction form
    172,985/374,402 = 374,402/x
  3. Step 3: Cross multiply
    172,985x = 374,402 × 374,402
  4. Step 4: Simplify right side
    172,985x = 140,176,857,604
  5. Step 5: Solve for x
    x = 140,176,857,604/172,985
  6. Step 6: Final answer
    x = 810,341.11

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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.