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Finding the Third Proportional to 456,460 and 667,780

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Solution

The third proportional to 456,460 and 667,780 is: 976,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,460 : 667,780 = 667,780 : x
  2. Step 2: Convert to fraction form
    456,460/667,780 = 667,780/x
  3. Step 3: Cross multiply
    456,460x = 667,780 × 667,780
  4. Step 4: Simplify right side
    456,460x = 445,930,128,400
  5. Step 5: Solve for x
    x = 445,930,128,400/456,460
  6. Step 6: Final answer
    x = 976,931.45

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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.