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Finding the Third Proportional to 207,972 and 310,569

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Solution

The third proportional to 207,972 and 310,569 is: 463,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,972 : 310,569 = 310,569 : x
  2. Step 2: Convert to fraction form
    207,972/310,569 = 310,569/x
  3. Step 3: Cross multiply
    207,972x = 310,569 × 310,569
  4. Step 4: Simplify right side
    207,972x = 96,453,103,761
  5. Step 5: Solve for x
    x = 96,453,103,761/207,972
  6. Step 6: Final answer
    x = 463,779.28

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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.