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Finding the Third Proportional to 437,000 and 590,421

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Solution

The third proportional to 437,000 and 590,421 is: 797,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,000 : 590,421 = 590,421 : x
  2. Step 2: Convert to fraction form
    437,000/590,421 = 590,421/x
  3. Step 3: Cross multiply
    437,000x = 590,421 × 590,421
  4. Step 4: Simplify right side
    437,000x = 348,596,957,241
  5. Step 5: Solve for x
    x = 348,596,957,241/437,000
  6. Step 6: Final answer
    x = 797,704.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.