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Finding the Third Proportional to 196,210 and 423,506

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Solution

The third proportional to 196,210 and 423,506 is: 914,109.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,210 : 423,506 = 423,506 : x
  2. Step 2: Convert to fraction form
    196,210/423,506 = 423,506/x
  3. Step 3: Cross multiply
    196,210x = 423,506 × 423,506
  4. Step 4: Simplify right side
    196,210x = 179,357,332,036
  5. Step 5: Solve for x
    x = 179,357,332,036/196,210
  6. Step 6: Final answer
    x = 914,109.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.