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Finding the Third Proportional to 291,624 and 450,360

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Solution

The third proportional to 291,624 and 450,360 is: 695,498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,624 : 450,360 = 450,360 : x
  2. Step 2: Convert to fraction form
    291,624/450,360 = 450,360/x
  3. Step 3: Cross multiply
    291,624x = 450,360 × 450,360
  4. Step 4: Simplify right side
    291,624x = 202,824,129,600
  5. Step 5: Solve for x
    x = 202,824,129,600/291,624
  6. Step 6: Final answer
    x = 695,498.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.