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Finding the Third Proportional to 329,848.88 and 720,427.50

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Solution

The third proportional to 329,848.88 and 720,427.50 is: 1,573,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,848.88 : 720,427.50 = 720,427.50 : x
  2. Step 2: Convert to fraction form
    329,848.88/720,427.50 = 720,427.50/x
  3. Step 3: Cross multiply
    329,848.88x = 720,427.50 × 720,427.50
  4. Step 4: Simplify right side
    329,848.88x = 519,015,782,756.25
  5. Step 5: Solve for x
    x = 519,015,782,756.25/329,848.88
  6. Step 6: Final answer
    x = 1,573,495.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.