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Finding the Third Proportional to 145,010 and 204,210

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Solution

The third proportional to 145,010 and 204,210 is: 287,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,010 : 204,210 = 204,210 : x
  2. Step 2: Convert to fraction form
    145,010/204,210 = 204,210/x
  3. Step 3: Cross multiply
    145,010x = 204,210 × 204,210
  4. Step 4: Simplify right side
    145,010x = 41,701,724,100
  5. Step 5: Solve for x
    x = 41,701,724,100/145,010
  6. Step 6: Final answer
    x = 287,578.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.