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Finding the Third Proportional to 210,126.25 and 314,445.75

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Solution

The third proportional to 210,126.25 and 314,445.75 is: 470,555.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,126.25 : 314,445.75 = 314,445.75 : x
  2. Step 2: Convert to fraction form
    210,126.25/314,445.75 = 314,445.75/x
  3. Step 3: Cross multiply
    210,126.25x = 314,445.75 × 314,445.75
  4. Step 4: Simplify right side
    210,126.25x = 98,876,129,693.06
  5. Step 5: Solve for x
    x = 98,876,129,693.06/210,126.25
  6. Step 6: Final answer
    x = 470,555.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.