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Finding the Third Proportional to 423,929.25 and 909,276.75

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Solution

The third proportional to 423,929.25 and 909,276.75 is: 1,950,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,929.25 : 909,276.75 = 909,276.75 : x
  2. Step 2: Convert to fraction form
    423,929.25/909,276.75 = 909,276.75/x
  3. Step 3: Cross multiply
    423,929.25x = 909,276.75 × 909,276.75
  4. Step 4: Simplify right side
    423,929.25x = 826,784,208,090.56
  5. Step 5: Solve for x
    x = 826,784,208,090.56/423,929.25
  6. Step 6: Final answer
    x = 1,950,288.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.