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Finding the Third Proportional to 135,464 and 210,953

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Solution

The third proportional to 135,464 and 210,953 is: 328,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,464 : 210,953 = 210,953 : x
  2. Step 2: Convert to fraction form
    135,464/210,953 = 210,953/x
  3. Step 3: Cross multiply
    135,464x = 210,953 × 210,953
  4. Step 4: Simplify right side
    135,464x = 44,501,168,209
  5. Step 5: Solve for x
    x = 44,501,168,209/135,464
  6. Step 6: Final answer
    x = 328,509.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.