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Finding the Third Proportional to 508,991.25 and 787,400.25

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Solution

The third proportional to 508,991.25 and 787,400.25 is: 1,218,093.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,991.25 : 787,400.25 = 787,400.25 : x
  2. Step 2: Convert to fraction form
    508,991.25/787,400.25 = 787,400.25/x
  3. Step 3: Cross multiply
    508,991.25x = 787,400.25 × 787,400.25
  4. Step 4: Simplify right side
    508,991.25x = 619,999,153,700.06
  5. Step 5: Solve for x
    x = 619,999,153,700.06/508,991.25
  6. Step 6: Final answer
    x = 1,218,093.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.