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Finding the Third Proportional to 152,210 and 242,411

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Solution

The third proportional to 152,210 and 242,411 is: 386,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,210 : 242,411 = 242,411 : x
  2. Step 2: Convert to fraction form
    152,210/242,411 = 242,411/x
  3. Step 3: Cross multiply
    152,210x = 242,411 × 242,411
  4. Step 4: Simplify right side
    152,210x = 58,763,092,921
  5. Step 5: Solve for x
    x = 58,763,092,921/152,210
  6. Step 6: Final answer
    x = 386,065.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.