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Finding the Third Proportional to 628,031 and 921,634

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Solution

The third proportional to 628,031 and 921,634 is: 1,352,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,031 : 921,634 = 921,634 : x
  2. Step 2: Convert to fraction form
    628,031/921,634 = 921,634/x
  3. Step 3: Cross multiply
    628,031x = 921,634 × 921,634
  4. Step 4: Simplify right side
    628,031x = 849,409,229,956
  5. Step 5: Solve for x
    x = 849,409,229,956/628,031
  6. Step 6: Final answer
    x = 1,352,495.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.