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Finding the Third Proportional to 290,604 and 437,580

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Solution

The third proportional to 290,604 and 437,580 is: 658,890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,604 : 437,580 = 437,580 : x
  2. Step 2: Convert to fraction form
    290,604/437,580 = 437,580/x
  3. Step 3: Cross multiply
    290,604x = 437,580 × 437,580
  4. Step 4: Simplify right side
    290,604x = 191,476,256,400
  5. Step 5: Solve for x
    x = 191,476,256,400/290,604
  6. Step 6: Final answer
    x = 658,890.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.