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Finding the Third Proportional to 163,907 and 253,138

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Solution

The third proportional to 163,907 and 253,138 is: 390,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,907 : 253,138 = 253,138 : x
  2. Step 2: Convert to fraction form
    163,907/253,138 = 253,138/x
  3. Step 3: Cross multiply
    163,907x = 253,138 × 253,138
  4. Step 4: Simplify right side
    163,907x = 64,078,847,044
  5. Step 5: Solve for x
    x = 64,078,847,044/163,907
  6. Step 6: Final answer
    x = 390,946.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.