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Finding the Third Proportional to 210,771 and 310,569.75

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Solution

The third proportional to 210,771 and 310,569.75 is: 457,622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,771 : 310,569.75 = 310,569.75 : x
  2. Step 2: Convert to fraction form
    210,771/310,569.75 = 310,569.75/x
  3. Step 3: Cross multiply
    210,771x = 310,569.75 × 310,569.75
  4. Step 4: Simplify right side
    210,771x = 96,453,569,615.06
  5. Step 5: Solve for x
    x = 96,453,569,615.06/210,771
  6. Step 6: Final answer
    x = 457,622.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.