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Finding the Third Proportional to 291,300 and 623,077

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Solution

The third proportional to 291,300 and 623,077 is: 1,332,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,300 : 623,077 = 623,077 : x
  2. Step 2: Convert to fraction form
    291,300/623,077 = 623,077/x
  3. Step 3: Cross multiply
    291,300x = 623,077 × 623,077
  4. Step 4: Simplify right side
    291,300x = 388,224,947,929
  5. Step 5: Solve for x
    x = 388,224,947,929/291,300
  6. Step 6: Final answer
    x = 1,332,732.40

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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.