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Finding the Third Proportional to 287,638 and 450,236

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Solution

The third proportional to 287,638 and 450,236 is: 704,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,638 : 450,236 = 450,236 : x
  2. Step 2: Convert to fraction form
    287,638/450,236 = 450,236/x
  3. Step 3: Cross multiply
    287,638x = 450,236 × 450,236
  4. Step 4: Simplify right side
    287,638x = 202,712,455,696
  5. Step 5: Solve for x
    x = 202,712,455,696/287,638
  6. Step 6: Final answer
    x = 704,748.52

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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.