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Finding the Third Proportional to 287,774 and 431,664

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Solution

The third proportional to 287,774 and 431,664 is: 647,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,774 : 431,664 = 431,664 : x
  2. Step 2: Convert to fraction form
    287,774/431,664 = 431,664/x
  3. Step 3: Cross multiply
    287,774x = 431,664 × 431,664
  4. Step 4: Simplify right side
    287,774x = 186,333,808,896
  5. Step 5: Solve for x
    x = 186,333,808,896/287,774
  6. Step 6: Final answer
    x = 647,500.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.