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Finding the Third Proportional to 142,670 and 211,953

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Solution

The third proportional to 142,670 and 211,953 is: 314,881.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,670 : 211,953 = 211,953 : x
  2. Step 2: Convert to fraction form
    142,670/211,953 = 211,953/x
  3. Step 3: Cross multiply
    142,670x = 211,953 × 211,953
  4. Step 4: Simplify right side
    142,670x = 44,924,074,209
  5. Step 5: Solve for x
    x = 44,924,074,209/142,670
  6. Step 6: Final answer
    x = 314,881.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.