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Finding the Third Proportional to 291,387 and 450,021

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Solution

The third proportional to 291,387 and 450,021 is: 695,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,387 : 450,021 = 450,021 : x
  2. Step 2: Convert to fraction form
    291,387/450,021 = 450,021/x
  3. Step 3: Cross multiply
    291,387x = 450,021 × 450,021
  4. Step 4: Simplify right side
    291,387x = 202,518,900,441
  5. Step 5: Solve for x
    x = 202,518,900,441/291,387
  6. Step 6: Final answer
    x = 695,016.94

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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.