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Finding the Third Proportional to 420,752 and 574,836

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Solution

The third proportional to 420,752 and 574,836 is: 785,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,752 : 574,836 = 574,836 : x
  2. Step 2: Convert to fraction form
    420,752/574,836 = 574,836/x
  3. Step 3: Cross multiply
    420,752x = 574,836 × 574,836
  4. Step 4: Simplify right side
    420,752x = 330,436,426,896
  5. Step 5: Solve for x
    x = 330,436,426,896/420,752
  6. Step 6: Final answer
    x = 785,347.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.