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Finding the Third Proportional to 455,706 and 665,901

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Solution

The third proportional to 455,706 and 665,901 is: 973,048.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,706 : 665,901 = 665,901 : x
  2. Step 2: Convert to fraction form
    455,706/665,901 = 665,901/x
  3. Step 3: Cross multiply
    455,706x = 665,901 × 665,901
  4. Step 4: Simplify right side
    455,706x = 443,424,141,801
  5. Step 5: Solve for x
    x = 443,424,141,801/455,706
  6. Step 6: Final answer
    x = 973,048.72

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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.