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Finding the Third Proportional to 199,411 and 306,507

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Solution

The third proportional to 199,411 and 306,507 is: 471,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,411 : 306,507 = 306,507 : x
  2. Step 2: Convert to fraction form
    199,411/306,507 = 306,507/x
  3. Step 3: Cross multiply
    199,411x = 306,507 × 306,507
  4. Step 4: Simplify right side
    199,411x = 93,946,541,049
  5. Step 5: Solve for x
    x = 93,946,541,049/199,411
  6. Step 6: Final answer
    x = 471,120.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.