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Finding the Third Proportional to 270,927 and 429,351.75

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Solution

The third proportional to 270,927 and 429,351.75 is: 680,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,927 : 429,351.75 = 429,351.75 : x
  2. Step 2: Convert to fraction form
    270,927/429,351.75 = 429,351.75/x
  3. Step 3: Cross multiply
    270,927x = 429,351.75 × 429,351.75
  4. Step 4: Simplify right side
    270,927x = 184,342,925,228.06
  5. Step 5: Solve for x
    x = 184,342,925,228.06/270,927
  6. Step 6: Final answer
    x = 680,415.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.