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Finding the Third Proportional to 317,538 and 435,480

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Solution

The third proportional to 317,538 and 435,480 is: 597,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,538 : 435,480 = 435,480 : x
  2. Step 2: Convert to fraction form
    317,538/435,480 = 435,480/x
  3. Step 3: Cross multiply
    317,538x = 435,480 × 435,480
  4. Step 4: Simplify right side
    317,538x = 189,642,830,400
  5. Step 5: Solve for x
    x = 189,642,830,400/317,538
  6. Step 6: Final answer
    x = 597,228.77

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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.