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Finding the Third Proportional to 631,484.25 and 989,472.38

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Solution

The third proportional to 631,484.25 and 989,472.38 is: 1,550,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,484.25 : 989,472.38 = 989,472.38 : x
  2. Step 2: Convert to fraction form
    631,484.25/989,472.38 = 989,472.38/x
  3. Step 3: Cross multiply
    631,484.25x = 989,472.38 × 989,472.38
  4. Step 4: Simplify right side
    631,484.25x = 979,055,580,888.14
  5. Step 5: Solve for x
    x = 979,055,580,888.14/631,484.25
  6. Step 6: Final answer
    x = 1,550,403.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.