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Finding the Third Proportional to 163,915 and 253,152

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Solution

The third proportional to 163,915 and 253,152 is: 390,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,915 : 253,152 = 253,152 : x
  2. Step 2: Convert to fraction form
    163,915/253,152 = 253,152/x
  3. Step 3: Cross multiply
    163,915x = 253,152 × 253,152
  4. Step 4: Simplify right side
    163,915x = 64,085,935,104
  5. Step 5: Solve for x
    x = 64,085,935,104/163,915
  6. Step 6: Final answer
    x = 390,970.53

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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.