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Finding the Third Proportional to 287,968 and 387,664

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Solution

The third proportional to 287,968 and 387,664 is: 521,875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,968 : 387,664 = 387,664 : x
  2. Step 2: Convert to fraction form
    287,968/387,664 = 387,664/x
  3. Step 3: Cross multiply
    287,968x = 387,664 × 387,664
  4. Step 4: Simplify right side
    287,968x = 150,283,376,896
  5. Step 5: Solve for x
    x = 150,283,376,896/287,968
  6. Step 6: Final answer
    x = 521,875.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.