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Finding the Third Proportional to 291,614 and 456,861

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Solution

The third proportional to 291,614 and 456,861 is: 715,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,614 : 456,861 = 456,861 : x
  2. Step 2: Convert to fraction form
    291,614/456,861 = 456,861/x
  3. Step 3: Cross multiply
    291,614x = 456,861 × 456,861
  4. Step 4: Simplify right side
    291,614x = 208,721,973,321
  5. Step 5: Solve for x
    x = 208,721,973,321/291,614
  6. Step 6: Final answer
    x = 715,747.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.