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Finding the Third Proportional to 191,762 and 287,643

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Solution

The third proportional to 191,762 and 287,643 is: 431,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,762 : 287,643 = 287,643 : x
  2. Step 2: Convert to fraction form
    191,762/287,643 = 287,643/x
  3. Step 3: Cross multiply
    191,762x = 287,643 × 287,643
  4. Step 4: Simplify right side
    191,762x = 82,738,495,449
  5. Step 5: Solve for x
    x = 82,738,495,449/191,762
  6. Step 6: Final answer
    x = 431,464.50

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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.