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Finding the Third Proportional to 402,308 and 881,992

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Solution

The third proportional to 402,308 and 881,992 is: 1,933,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,308 : 881,992 = 881,992 : x
  2. Step 2: Convert to fraction form
    402,308/881,992 = 881,992/x
  3. Step 3: Cross multiply
    402,308x = 881,992 × 881,992
  4. Step 4: Simplify right side
    402,308x = 777,909,888,064
  5. Step 5: Solve for x
    x = 777,909,888,064/402,308
  6. Step 6: Final answer
    x = 1,933,617.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.