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Finding the Third Proportional to 413,064 and 611,920

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Solution

The third proportional to 413,064 and 611,920 is: 906,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,064 : 611,920 = 611,920 : x
  2. Step 2: Convert to fraction form
    413,064/611,920 = 611,920/x
  3. Step 3: Cross multiply
    413,064x = 611,920 × 611,920
  4. Step 4: Simplify right side
    413,064x = 374,446,086,400
  5. Step 5: Solve for x
    x = 374,446,086,400/413,064
  6. Step 6: Final answer
    x = 906,508.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.