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Finding the Third Proportional to 306,834.75 and 634,973.25

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Solution

The third proportional to 306,834.75 and 634,973.25 is: 1,314,033.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,834.75 : 634,973.25 = 634,973.25 : x
  2. Step 2: Convert to fraction form
    306,834.75/634,973.25 = 634,973.25/x
  3. Step 3: Cross multiply
    306,834.75x = 634,973.25 × 634,973.25
  4. Step 4: Simplify right side
    306,834.75x = 403,191,028,215.56
  5. Step 5: Solve for x
    x = 403,191,028,215.56/306,834.75
  6. Step 6: Final answer
    x = 1,314,033.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.