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Finding the Third Proportional to 143,748 and 307,206

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Solution

The third proportional to 143,748 and 307,206 is: 656,534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,748 : 307,206 = 307,206 : x
  2. Step 2: Convert to fraction form
    143,748/307,206 = 307,206/x
  3. Step 3: Cross multiply
    143,748x = 307,206 × 307,206
  4. Step 4: Simplify right side
    143,748x = 94,375,526,436
  5. Step 5: Solve for x
    x = 94,375,526,436/143,748
  6. Step 6: Final answer
    x = 656,534.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.