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Finding the Third Proportional to 287,796 and 450,480

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Solution

The third proportional to 287,796 and 450,480 is: 705,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,796 : 450,480 = 450,480 : x
  2. Step 2: Convert to fraction form
    287,796/450,480 = 450,480/x
  3. Step 3: Cross multiply
    287,796x = 450,480 × 450,480
  4. Step 4: Simplify right side
    287,796x = 202,932,230,400
  5. Step 5: Solve for x
    x = 202,932,230,400/287,796
  6. Step 6: Final answer
    x = 705,125.26

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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.