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Finding the Third Proportional to 145,424 and 209,452

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Solution

The third proportional to 145,424 and 209,452 is: 301,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,424 : 209,452 = 209,452 : x
  2. Step 2: Convert to fraction form
    145,424/209,452 = 209,452/x
  3. Step 3: Cross multiply
    145,424x = 209,452 × 209,452
  4. Step 4: Simplify right side
    145,424x = 43,870,140,304
  5. Step 5: Solve for x
    x = 43,870,140,304/145,424
  6. Step 6: Final answer
    x = 301,670.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.