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Finding the Third Proportional to 292,830.19 and 442,933.31

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Solution

The third proportional to 292,830.19 and 442,933.31 is: 669,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,830.19 : 442,933.31 = 442,933.31 : x
  2. Step 2: Convert to fraction form
    292,830.19/442,933.31 = 442,933.31/x
  3. Step 3: Cross multiply
    292,830.19x = 442,933.31 × 442,933.31
  4. Step 4: Simplify right side
    292,830.19x = 196,189,919,322.22
  5. Step 5: Solve for x
    x = 196,189,919,322.22/292,830.19
  6. Step 6: Final answer
    x = 669,978.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.