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Finding the Third Proportional to 456,426 and 667,737

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Solution

The third proportional to 456,426 and 667,737 is: 976,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,426 : 667,737 = 667,737 : x
  2. Step 2: Convert to fraction form
    456,426/667,737 = 667,737/x
  3. Step 3: Cross multiply
    456,426x = 667,737 × 667,737
  4. Step 4: Simplify right side
    456,426x = 445,872,701,169
  5. Step 5: Solve for x
    x = 445,872,701,169/456,426
  6. Step 6: Final answer
    x = 976,878.40

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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.