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Finding the Third Proportional to 306,058.50 and 430,232.25

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Solution

The third proportional to 306,058.50 and 430,232.25 is: 604,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,058.50 : 430,232.25 = 430,232.25 : x
  2. Step 2: Convert to fraction form
    306,058.50/430,232.25 = 430,232.25/x
  3. Step 3: Cross multiply
    306,058.50x = 430,232.25 × 430,232.25
  4. Step 4: Simplify right side
    306,058.50x = 185,099,788,940.06
  5. Step 5: Solve for x
    x = 185,099,788,940.06/306,058.50
  6. Step 6: Final answer
    x = 604,785.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.