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Finding the Third Proportional to 287,843.63 and 450,522

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Solution

The third proportional to 287,843.63 and 450,522 is: 705,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,843.63 : 450,522 = 450,522 : x
  2. Step 2: Convert to fraction form
    287,843.63/450,522 = 450,522/x
  3. Step 3: Cross multiply
    287,843.63x = 450,522 × 450,522
  4. Step 4: Simplify right side
    287,843.63x = 202,970,072,484
  5. Step 5: Solve for x
    x = 202,970,072,484/287,843.63
  6. Step 6: Final answer
    x = 705,140.07

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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.