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Finding the Third Proportional to 200,143 and 309,565

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Solution

The third proportional to 200,143 and 309,565 is: 478,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,143 : 309,565 = 309,565 : x
  2. Step 2: Convert to fraction form
    200,143/309,565 = 309,565/x
  3. Step 3: Cross multiply
    200,143x = 309,565 × 309,565
  4. Step 4: Simplify right side
    200,143x = 95,830,489,225
  5. Step 5: Solve for x
    x = 95,830,489,225/200,143
  6. Step 6: Final answer
    x = 478,810.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.