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Finding the Third Proportional to 317,358 and 435,172.50

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Solution

The third proportional to 317,358 and 435,172.50 is: 596,723.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,358 : 435,172.50 = 435,172.50 : x
  2. Step 2: Convert to fraction form
    317,358/435,172.50 = 435,172.50/x
  3. Step 3: Cross multiply
    317,358x = 435,172.50 × 435,172.50
  4. Step 4: Simplify right side
    317,358x = 189,375,104,756.25
  5. Step 5: Solve for x
    x = 189,375,104,756.25/317,358
  6. Step 6: Final answer
    x = 596,723.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.