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Finding the Third Proportional to 287,645 and 450,247.50

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Solution

The third proportional to 287,645 and 450,247.50 is: 704,767.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,645 : 450,247.50 = 450,247.50 : x
  2. Step 2: Convert to fraction form
    287,645/450,247.50 = 450,247.50/x
  3. Step 3: Cross multiply
    287,645x = 450,247.50 × 450,247.50
  4. Step 4: Simplify right side
    287,645x = 202,722,811,256.25
  5. Step 5: Solve for x
    x = 202,722,811,256.25/287,645
  6. Step 6: Final answer
    x = 704,767.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.