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Finding the Third Proportional to 328,867.50 and 720,577.50

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Solution

The third proportional to 328,867.50 and 720,577.50 is: 1,578,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,867.50 : 720,577.50 = 720,577.50 : x
  2. Step 2: Convert to fraction form
    328,867.50/720,577.50 = 720,577.50/x
  3. Step 3: Cross multiply
    328,867.50x = 720,577.50 × 720,577.50
  4. Step 4: Simplify right side
    328,867.50x = 519,231,933,506.25
  5. Step 5: Solve for x
    x = 519,231,933,506.25/328,867.50
  6. Step 6: Final answer
    x = 1,578,848.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.