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Finding the Third Proportional to 196,862 and 305,409

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Solution

The third proportional to 196,862 and 305,409 is: 473,807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,862 : 305,409 = 305,409 : x
  2. Step 2: Convert to fraction form
    196,862/305,409 = 305,409/x
  3. Step 3: Cross multiply
    196,862x = 305,409 × 305,409
  4. Step 4: Simplify right side
    196,862x = 93,274,657,281
  5. Step 5: Solve for x
    x = 93,274,657,281/196,862
  6. Step 6: Final answer
    x = 473,807.32

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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.