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Finding the Third Proportional to 163,902 and 253,132

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Solution

The third proportional to 163,902 and 253,132 is: 390,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,902 : 253,132 = 253,132 : x
  2. Step 2: Convert to fraction form
    163,902/253,132 = 253,132/x
  3. Step 3: Cross multiply
    163,902x = 253,132 × 253,132
  4. Step 4: Simplify right side
    163,902x = 64,075,809,424
  5. Step 5: Solve for x
    x = 64,075,809,424/163,902
  6. Step 6: Final answer
    x = 390,939.77

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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.