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Finding the Third Proportional to 145,521 and 205,402

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Solution

The third proportional to 145,521 and 205,402 is: 289,923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,521 : 205,402 = 205,402 : x
  2. Step 2: Convert to fraction form
    145,521/205,402 = 205,402/x
  3. Step 3: Cross multiply
    145,521x = 205,402 × 205,402
  4. Step 4: Simplify right side
    145,521x = 42,189,981,604
  5. Step 5: Solve for x
    x = 42,189,981,604/145,521
  6. Step 6: Final answer
    x = 289,923.66

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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.