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Finding the Third Proportional to 287,998 and 432,012

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Solution

The third proportional to 287,998 and 432,012 is: 648,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,998 : 432,012 = 432,012 : x
  2. Step 2: Convert to fraction form
    287,998/432,012 = 432,012/x
  3. Step 3: Cross multiply
    287,998x = 432,012 × 432,012
  4. Step 4: Simplify right side
    287,998x = 186,634,368,144
  5. Step 5: Solve for x
    x = 186,634,368,144/287,998
  6. Step 6: Final answer
    x = 648,040.50

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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.