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Finding the Third Proportional to 316,602 and 666,009

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Solution

The third proportional to 316,602 and 666,009 is: 1,401,027.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,602 : 666,009 = 666,009 : x
  2. Step 2: Convert to fraction form
    316,602/666,009 = 666,009/x
  3. Step 3: Cross multiply
    316,602x = 666,009 × 666,009
  4. Step 4: Simplify right side
    316,602x = 443,567,988,081
  5. Step 5: Solve for x
    x = 443,567,988,081/316,602
  6. Step 6: Final answer
    x = 1,401,027.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.