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Finding the Third Proportional to 455,335 and 668,240

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Solution

The third proportional to 455,335 and 668,240 is: 980,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,335 : 668,240 = 668,240 : x
  2. Step 2: Convert to fraction form
    455,335/668,240 = 668,240/x
  3. Step 3: Cross multiply
    455,335x = 668,240 × 668,240
  4. Step 4: Simplify right side
    455,335x = 446,544,697,600
  5. Step 5: Solve for x
    x = 446,544,697,600/455,335
  6. Step 6: Final answer
    x = 980,694.87

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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.