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Finding the Third Proportional to 455,566 and 668,541

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Solution

The third proportional to 455,566 and 668,541 is: 981,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,566 : 668,541 = 668,541 : x
  2. Step 2: Convert to fraction form
    455,566/668,541 = 668,541/x
  3. Step 3: Cross multiply
    455,566x = 668,541 × 668,541
  4. Step 4: Simplify right side
    455,566x = 446,947,068,681
  5. Step 5: Solve for x
    x = 446,947,068,681/455,566
  6. Step 6: Final answer
    x = 981,080.83

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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.