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Finding the Third Proportional to 291,840 and 419,328

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Solution

The third proportional to 291,840 and 419,328 is: 602,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,840 : 419,328 = 419,328 : x
  2. Step 2: Convert to fraction form
    291,840/419,328 = 419,328/x
  3. Step 3: Cross multiply
    291,840x = 419,328 × 419,328
  4. Step 4: Simplify right side
    291,840x = 175,835,971,584
  5. Step 5: Solve for x
    x = 175,835,971,584/291,840
  6. Step 6: Final answer
    x = 602,508.13

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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.