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Finding the Third Proportional to 200,357 and 423,070

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Solution

The third proportional to 200,357 and 423,070 is: 893,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,357 : 423,070 = 423,070 : x
  2. Step 2: Convert to fraction form
    200,357/423,070 = 423,070/x
  3. Step 3: Cross multiply
    200,357x = 423,070 × 423,070
  4. Step 4: Simplify right side
    200,357x = 178,988,224,900
  5. Step 5: Solve for x
    x = 178,988,224,900/200,357
  6. Step 6: Final answer
    x = 893,346.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.