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Finding the Third Proportional to 197,742 and 423,507

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Solution

The third proportional to 197,742 and 423,507 is: 907,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,742 : 423,507 = 423,507 : x
  2. Step 2: Convert to fraction form
    197,742/423,507 = 423,507/x
  3. Step 3: Cross multiply
    197,742x = 423,507 × 423,507
  4. Step 4: Simplify right side
    197,742x = 179,358,179,049
  5. Step 5: Solve for x
    x = 179,358,179,049/197,742
  6. Step 6: Final answer
    x = 907,031.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.