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Finding the Third Proportional to 287,849 and 450,529.50

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Solution

The third proportional to 287,849 and 450,529.50 is: 705,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,849 : 450,529.50 = 450,529.50 : x
  2. Step 2: Convert to fraction form
    287,849/450,529.50 = 450,529.50/x
  3. Step 3: Cross multiply
    287,849x = 450,529.50 × 450,529.50
  4. Step 4: Simplify right side
    287,849x = 202,976,830,370.25
  5. Step 5: Solve for x
    x = 202,976,830,370.25/287,849
  6. Step 6: Final answer
    x = 705,150.38

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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.