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Finding the Third Proportional to 455,417.44 and 668,348.72

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Solution

The third proportional to 455,417.44 and 668,348.72 is: 980,836.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,417.44 : 668,348.72 = 668,348.72 : x
  2. Step 2: Convert to fraction form
    455,417.44/668,348.72 = 668,348.72/x
  3. Step 3: Cross multiply
    455,417.44x = 668,348.72 × 668,348.72
  4. Step 4: Simplify right side
    455,417.44x = 446,690,009,854.77
  5. Step 5: Solve for x
    x = 446,690,009,854.77/455,417.44
  6. Step 6: Final answer
    x = 980,836.42

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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.