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Finding the Third Proportional to 291,299.63 and 623,078.16

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Solution

The third proportional to 291,299.63 and 623,078.16 is: 1,332,739.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,299.63 : 623,078.16 = 623,078.16 : x
  2. Step 2: Convert to fraction form
    291,299.63/623,078.16 = 623,078.16/x
  3. Step 3: Cross multiply
    291,299.63x = 623,078.16 × 623,078.16
  4. Step 4: Simplify right side
    291,299.63x = 388,226,388,795.90
  5. Step 5: Solve for x
    x = 388,226,388,795.90/291,299.63
  6. Step 6: Final answer
    x = 1,332,739.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.