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Finding the Third Proportional to 225,053 and 318,438.50

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Solution

The third proportional to 225,053 and 318,438.50 is: 450,574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,053 : 318,438.50 = 318,438.50 : x
  2. Step 2: Convert to fraction form
    225,053/318,438.50 = 318,438.50/x
  3. Step 3: Cross multiply
    225,053x = 318,438.50 × 318,438.50
  4. Step 4: Simplify right side
    225,053x = 101,403,078,282.25
  5. Step 5: Solve for x
    x = 101,403,078,282.25/225,053
  6. Step 6: Final answer
    x = 450,574.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.