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Finding the Third Proportional to 426,927.75 and 917,170.50

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Solution

The third proportional to 426,927.75 and 917,170.50 is: 1,970,360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,927.75 : 917,170.50 = 917,170.50 : x
  2. Step 2: Convert to fraction form
    426,927.75/917,170.50 = 917,170.50/x
  3. Step 3: Cross multiply
    426,927.75x = 917,170.50 × 917,170.50
  4. Step 4: Simplify right side
    426,927.75x = 841,201,726,070.25
  5. Step 5: Solve for x
    x = 841,201,726,070.25/426,927.75
  6. Step 6: Final answer
    x = 1,970,360.85

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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.