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Finding the Third Proportional to 638,637.75 and 958,051.13

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Solution

The third proportional to 638,637.75 and 958,051.13 is: 1,437,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,637.75 : 958,051.13 = 958,051.13 : x
  2. Step 2: Convert to fraction form
    638,637.75/958,051.13 = 958,051.13/x
  3. Step 3: Cross multiply
    638,637.75x = 958,051.13 × 958,051.13
  4. Step 4: Simplify right side
    638,637.75x = 917,861,958,113.77
  5. Step 5: Solve for x
    x = 917,861,958,113.77/638,637.75
  6. Step 6: Final answer
    x = 1,437,218.45

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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.