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Finding the Third Proportional to 426,351.75 and 917,220

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Solution

The third proportional to 426,351.75 and 917,220 is: 1,973,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,351.75 : 917,220 = 917,220 : x
  2. Step 2: Convert to fraction form
    426,351.75/917,220 = 917,220/x
  3. Step 3: Cross multiply
    426,351.75x = 917,220 × 917,220
  4. Step 4: Simplify right side
    426,351.75x = 841,292,528,400
  5. Step 5: Solve for x
    x = 841,292,528,400/426,351.75
  6. Step 6: Final answer
    x = 1,973,235.78

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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.