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Finding the Third Proportional to 197,915 and 431,352

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Solution

The third proportional to 197,915 and 431,352 is: 940,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,915 : 431,352 = 431,352 : x
  2. Step 2: Convert to fraction form
    197,915/431,352 = 431,352/x
  3. Step 3: Cross multiply
    197,915x = 431,352 × 431,352
  4. Step 4: Simplify right side
    197,915x = 186,064,547,904
  5. Step 5: Solve for x
    x = 186,064,547,904/197,915
  6. Step 6: Final answer
    x = 940,123.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.