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Finding the Third Proportional to 429,807.75 and 662,754.75

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Solution

The third proportional to 429,807.75 and 662,754.75 is: 1,021,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,807.75 : 662,754.75 = 662,754.75 : x
  2. Step 2: Convert to fraction form
    429,807.75/662,754.75 = 662,754.75/x
  3. Step 3: Cross multiply
    429,807.75x = 662,754.75 × 662,754.75
  4. Step 4: Simplify right side
    429,807.75x = 439,243,858,647.56
  5. Step 5: Solve for x
    x = 439,243,858,647.56/429,807.75
  6. Step 6: Final answer
    x = 1,021,954.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.