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Finding the Third Proportional to 287,712 and 450,348

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Solution

The third proportional to 287,712 and 450,348 is: 704,917.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,712 : 450,348 = 450,348 : x
  2. Step 2: Convert to fraction form
    287,712/450,348 = 450,348/x
  3. Step 3: Cross multiply
    287,712x = 450,348 × 450,348
  4. Step 4: Simplify right side
    287,712x = 202,813,321,104
  5. Step 5: Solve for x
    x = 202,813,321,104/287,712
  6. Step 6: Final answer
    x = 704,917.84

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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.