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Finding the Third Proportional to 403,770 and 588,128

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Solution

The third proportional to 403,770 and 588,128 is: 856,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,770 : 588,128 = 588,128 : x
  2. Step 2: Convert to fraction form
    403,770/588,128 = 588,128/x
  3. Step 3: Cross multiply
    403,770x = 588,128 × 588,128
  4. Step 4: Simplify right side
    403,770x = 345,894,544,384
  5. Step 5: Solve for x
    x = 345,894,544,384/403,770
  6. Step 6: Final answer
    x = 856,662.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.