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Finding the Third Proportional to 291,326.63 and 393,607.69

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Solution

The third proportional to 291,326.63 and 393,607.69 is: 531,798.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,326.63 : 393,607.69 = 393,607.69 : x
  2. Step 2: Convert to fraction form
    291,326.63/393,607.69 = 393,607.69/x
  3. Step 3: Cross multiply
    291,326.63x = 393,607.69 × 393,607.69
  4. Step 4: Simplify right side
    291,326.63x = 154,927,011,659.10
  5. Step 5: Solve for x
    x = 154,927,011,659.10/291,326.63
  6. Step 6: Final answer
    x = 531,798.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.