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Finding the Third Proportional to 155,133 and 248,897

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Solution

The third proportional to 155,133 and 248,897 is: 399,332.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,133 : 248,897 = 248,897 : x
  2. Step 2: Convert to fraction form
    155,133/248,897 = 248,897/x
  3. Step 3: Cross multiply
    155,133x = 248,897 × 248,897
  4. Step 4: Simplify right side
    155,133x = 61,949,716,609
  5. Step 5: Solve for x
    x = 61,949,716,609/155,133
  6. Step 6: Final answer
    x = 399,332.94

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.