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Finding the Third Proportional to 133,565.04 and 292,464.26

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Solution

The third proportional to 133,565.04 and 292,464.26 is: 640,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,565.04 : 292,464.26 = 292,464.26 : x
  2. Step 2: Convert to fraction form
    133,565.04/292,464.26 = 292,464.26/x
  3. Step 3: Cross multiply
    133,565.04x = 292,464.26 × 292,464.26
  4. Step 4: Simplify right side
    133,565.04x = 85,535,345,525.14
  5. Step 5: Solve for x
    x = 85,535,345,525.14/133,565.04
  6. Step 6: Final answer
    x = 640,402.18

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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.