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Finding the Third Proportional to 426,982.75 and 917,280.25

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Solution

The third proportional to 426,982.75 and 917,280.25 is: 1,970,578.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,982.75 : 917,280.25 = 917,280.25 : x
  2. Step 2: Convert to fraction form
    426,982.75/917,280.25 = 917,280.25/x
  3. Step 3: Cross multiply
    426,982.75x = 917,280.25 × 917,280.25
  4. Step 4: Simplify right side
    426,982.75x = 841,403,057,040.06
  5. Step 5: Solve for x
    x = 841,403,057,040.06/426,982.75
  6. Step 6: Final answer
    x = 1,970,578.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.