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Finding the Third Proportional to 455,294 and 668,175

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Solution

The third proportional to 455,294 and 668,175 is: 980,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,294 : 668,175 = 668,175 : x
  2. Step 2: Convert to fraction form
    455,294/668,175 = 668,175/x
  3. Step 3: Cross multiply
    455,294x = 668,175 × 668,175
  4. Step 4: Simplify right side
    455,294x = 446,457,830,625
  5. Step 5: Solve for x
    x = 446,457,830,625/455,294
  6. Step 6: Final answer
    x = 980,592.39

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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.