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Finding the Third Proportional to 291,315 and 623,112

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Solution

The third proportional to 291,315 and 623,112 is: 1,332,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,315 : 623,112 = 623,112 : x
  2. Step 2: Convert to fraction form
    291,315/623,112 = 623,112/x
  3. Step 3: Cross multiply
    291,315x = 623,112 × 623,112
  4. Step 4: Simplify right side
    291,315x = 388,268,564,544
  5. Step 5: Solve for x
    x = 388,268,564,544/291,315
  6. Step 6: Final answer
    x = 1,332,813.50

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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.