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Finding the Third Proportional to 287,264 and 630,976

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Solution

The third proportional to 287,264 and 630,976 is: 1,385,940.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,264 : 630,976 = 630,976 : x
  2. Step 2: Convert to fraction form
    287,264/630,976 = 630,976/x
  3. Step 3: Cross multiply
    287,264x = 630,976 × 630,976
  4. Step 4: Simplify right side
    287,264x = 398,130,712,576
  5. Step 5: Solve for x
    x = 398,130,712,576/287,264
  6. Step 6: Final answer
    x = 1,385,940.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.