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Finding the Third Proportional to 431,907.19 and 1,008,991.69

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Solution

The third proportional to 431,907.19 and 1,008,991.69 is: 2,357,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,907.19 : 1,008,991.69 = 1,008,991.69 : x
  2. Step 2: Convert to fraction form
    431,907.19/1,008,991.69 = 1,008,991.69/x
  3. Step 3: Cross multiply
    431,907.19x = 1,008,991.69 × 1,008,991.69
  4. Step 4: Simplify right side
    431,907.19x = 1,018,064,225,444.10
  5. Step 5: Solve for x
    x = 1,018,064,225,444.10/431,907.19
  6. Step 6: Final answer
    x = 2,357,136.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.