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Finding the Third Proportional to 631,584 and 914,206.50

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Solution

The third proportional to 631,584 and 914,206.50 is: 1,323,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,584 : 914,206.50 = 914,206.50 : x
  2. Step 2: Convert to fraction form
    631,584/914,206.50 = 914,206.50/x
  3. Step 3: Cross multiply
    631,584x = 914,206.50 × 914,206.50
  4. Step 4: Simplify right side
    631,584x = 835,773,524,642.25
  5. Step 5: Solve for x
    x = 835,773,524,642.25/631,584
  6. Step 6: Final answer
    x = 1,323,297.49

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.