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Finding the Third Proportional to 287,963 and 428,944

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Solution

The third proportional to 287,963 and 428,944 is: 638,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,963 : 428,944 = 428,944 : x
  2. Step 2: Convert to fraction form
    287,963/428,944 = 428,944/x
  3. Step 3: Cross multiply
    287,963x = 428,944 × 428,944
  4. Step 4: Simplify right side
    287,963x = 183,992,955,136
  5. Step 5: Solve for x
    x = 183,992,955,136/287,963
  6. Step 6: Final answer
    x = 638,946.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.