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Finding the Third Proportional to 317,031.75 and 702,429.75

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Solution

The third proportional to 317,031.75 and 702,429.75 is: 1,556,334.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,031.75 : 702,429.75 = 702,429.75 : x
  2. Step 2: Convert to fraction form
    317,031.75/702,429.75 = 702,429.75/x
  3. Step 3: Cross multiply
    317,031.75x = 702,429.75 × 702,429.75
  4. Step 4: Simplify right side
    317,031.75x = 493,407,553,685.06
  5. Step 5: Solve for x
    x = 493,407,553,685.06/317,031.75
  6. Step 6: Final answer
    x = 1,556,334.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.