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Finding the Third Proportional to 287,644 and 450,246

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Solution

The third proportional to 287,644 and 450,246 is: 704,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,644 : 450,246 = 450,246 : x
  2. Step 2: Convert to fraction form
    287,644/450,246 = 450,246/x
  3. Step 3: Cross multiply
    287,644x = 450,246 × 450,246
  4. Step 4: Simplify right side
    287,644x = 202,721,460,516
  5. Step 5: Solve for x
    x = 202,721,460,516/287,644
  6. Step 6: Final answer
    x = 704,765.13

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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.