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Finding the Third Proportional to 292,086 and 390,561.75

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Solution

The third proportional to 292,086 and 390,561.75 is: 522,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,086 : 390,561.75 = 390,561.75 : x
  2. Step 2: Convert to fraction form
    292,086/390,561.75 = 390,561.75/x
  3. Step 3: Cross multiply
    292,086x = 390,561.75 × 390,561.75
  4. Step 4: Simplify right side
    292,086x = 152,538,480,563.06
  5. Step 5: Solve for x
    x = 152,538,480,563.06/292,086
  6. Step 6: Final answer
    x = 522,238.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.