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Finding the Third Proportional to 291,385 and 450,015

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Solution

The third proportional to 291,385 and 450,015 is: 695,003.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,385 : 450,015 = 450,015 : x
  2. Step 2: Convert to fraction form
    291,385/450,015 = 450,015/x
  3. Step 3: Cross multiply
    291,385x = 450,015 × 450,015
  4. Step 4: Simplify right side
    291,385x = 202,513,500,225
  5. Step 5: Solve for x
    x = 202,513,500,225/291,385
  6. Step 6: Final answer
    x = 695,003.18

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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.