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Finding the Third Proportional to 316,604 and 666,013

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Solution

The third proportional to 316,604 and 666,013 is: 1,401,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,604 : 666,013 = 666,013 : x
  2. Step 2: Convert to fraction form
    316,604/666,013 = 666,013/x
  3. Step 3: Cross multiply
    316,604x = 666,013 × 666,013
  4. Step 4: Simplify right side
    316,604x = 443,573,316,169
  5. Step 5: Solve for x
    x = 443,573,316,169/316,604
  6. Step 6: Final answer
    x = 1,401,035.10

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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.