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Finding the Third Proportional to 310,857 and 665,817

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Solution

The third proportional to 310,857 and 665,817 is: 1,426,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,857 : 665,817 = 665,817 : x
  2. Step 2: Convert to fraction form
    310,857/665,817 = 665,817/x
  3. Step 3: Cross multiply
    310,857x = 665,817 × 665,817
  4. Step 4: Simplify right side
    310,857x = 443,312,277,489
  5. Step 5: Solve for x
    x = 443,312,277,489/310,857
  6. Step 6: Final answer
    x = 1,426,097.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.