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Finding the Third Proportional to 100,152 and 155,970

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Solution

The third proportional to 100,152 and 155,970 is: 242,897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,152 : 155,970 = 155,970 : x
  2. Step 2: Convert to fraction form
    100,152/155,970 = 155,970/x
  3. Step 3: Cross multiply
    100,152x = 155,970 × 155,970
  4. Step 4: Simplify right side
    100,152x = 24,326,640,900
  5. Step 5: Solve for x
    x = 24,326,640,900/100,152
  6. Step 6: Final answer
    x = 242,897.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.