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Finding the Third Proportional to 287,244 and 438,642

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Solution

The third proportional to 287,244 and 438,642 is: 669,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,244 : 438,642 = 438,642 : x
  2. Step 2: Convert to fraction form
    287,244/438,642 = 438,642/x
  3. Step 3: Cross multiply
    287,244x = 438,642 × 438,642
  4. Step 4: Simplify right side
    287,244x = 192,406,804,164
  5. Step 5: Solve for x
    x = 192,406,804,164/287,244
  6. Step 6: Final answer
    x = 669,837.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.