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Finding the Third Proportional to 423,980 and 575,732

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Solution

The third proportional to 423,980 and 575,732 is: 781,799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,980 : 575,732 = 575,732 : x
  2. Step 2: Convert to fraction form
    423,980/575,732 = 575,732/x
  3. Step 3: Cross multiply
    423,980x = 575,732 × 575,732
  4. Step 4: Simplify right side
    423,980x = 331,467,335,824
  5. Step 5: Solve for x
    x = 331,467,335,824/423,980
  6. Step 6: Final answer
    x = 781,799.46

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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.