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Finding the Third Proportional to 921,357 and 1,421,397

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Solution

The third proportional to 921,357 and 1,421,397 is: 2,192,819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,357 : 1,421,397 = 1,421,397 : x
  2. Step 2: Convert to fraction form
    921,357/1,421,397 = 1,421,397/x
  3. Step 3: Cross multiply
    921,357x = 1,421,397 × 1,421,397
  4. Step 4: Simplify right side
    921,357x = 2,020,369,431,609
  5. Step 5: Solve for x
    x = 2,020,369,431,609/921,357
  6. Step 6: Final answer
    x = 2,192,819.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.