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Finding the Third Proportional to 102,924 and 155,490

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Solution

The third proportional to 102,924 and 155,490 is: 234,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,924 : 155,490 = 155,490 : x
  2. Step 2: Convert to fraction form
    102,924/155,490 = 155,490/x
  3. Step 3: Cross multiply
    102,924x = 155,490 × 155,490
  4. Step 4: Simplify right side
    102,924x = 24,177,140,100
  5. Step 5: Solve for x
    x = 24,177,140,100/102,924
  6. Step 6: Final answer
    x = 234,902.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.