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Finding the Third Proportional to 145,697 and 317,031

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Solution

The third proportional to 145,697 and 317,031 is: 689,847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,697 : 317,031 = 317,031 : x
  2. Step 2: Convert to fraction form
    145,697/317,031 = 317,031/x
  3. Step 3: Cross multiply
    145,697x = 317,031 × 317,031
  4. Step 4: Simplify right side
    145,697x = 100,508,654,961
  5. Step 5: Solve for x
    x = 100,508,654,961/145,697
  6. Step 6: Final answer
    x = 689,847.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.