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Finding the Third Proportional to 187,159 and 287,968

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Solution

The third proportional to 187,159 and 287,968 is: 443,075.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,159 : 287,968 = 287,968 : x
  2. Step 2: Convert to fraction form
    187,159/287,968 = 287,968/x
  3. Step 3: Cross multiply
    187,159x = 287,968 × 287,968
  4. Step 4: Simplify right side
    187,159x = 82,925,569,024
  5. Step 5: Solve for x
    x = 82,925,569,024/187,159
  6. Step 6: Final answer
    x = 443,075.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.