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Finding the Third Proportional to 339,064 and 460,478

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Solution

The third proportional to 339,064 and 460,478 is: 625,368.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,064 : 460,478 = 460,478 : x
  2. Step 2: Convert to fraction form
    339,064/460,478 = 460,478/x
  3. Step 3: Cross multiply
    339,064x = 460,478 × 460,478
  4. Step 4: Simplify right side
    339,064x = 212,039,988,484
  5. Step 5: Solve for x
    x = 212,039,988,484/339,064
  6. Step 6: Final answer
    x = 625,368.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.