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Finding the Third Proportional to 642,476 and 940,672

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Solution

The third proportional to 642,476 and 940,672 is: 1,377,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,476 : 940,672 = 940,672 : x
  2. Step 2: Convert to fraction form
    642,476/940,672 = 940,672/x
  3. Step 3: Cross multiply
    642,476x = 940,672 × 940,672
  4. Step 4: Simplify right side
    642,476x = 884,863,811,584
  5. Step 5: Solve for x
    x = 884,863,811,584/642,476
  6. Step 6: Final answer
    x = 1,377,271.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.