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Finding the Third Proportional to 251,521.50 and 380,533.50

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Solution

The third proportional to 251,521.50 and 380,533.50 is: 575,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,521.50 : 380,533.50 = 380,533.50 : x
  2. Step 2: Convert to fraction form
    251,521.50/380,533.50 = 380,533.50/x
  3. Step 3: Cross multiply
    251,521.50x = 380,533.50 × 380,533.50
  4. Step 4: Simplify right side
    251,521.50x = 144,805,744,622.25
  5. Step 5: Solve for x
    x = 144,805,744,622.25/251,521.50
  6. Step 6: Final answer
    x = 575,719.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.