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Finding the Third Proportional to 199,776 and 309,312

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Solution

The third proportional to 199,776 and 309,312 is: 478,905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,776 : 309,312 = 309,312 : x
  2. Step 2: Convert to fraction form
    199,776/309,312 = 309,312/x
  3. Step 3: Cross multiply
    199,776x = 309,312 × 309,312
  4. Step 4: Simplify right side
    199,776x = 95,673,913,344
  5. Step 5: Solve for x
    x = 95,673,913,344/199,776
  6. Step 6: Final answer
    x = 478,905.94

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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.