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Finding the Third Proportional to 665,655 and 1,458,018

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Solution

The third proportional to 665,655 and 1,458,018 is: 3,193,570.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,655 : 1,458,018 = 1,458,018 : x
  2. Step 2: Convert to fraction form
    665,655/1,458,018 = 1,458,018/x
  3. Step 3: Cross multiply
    665,655x = 1,458,018 × 1,458,018
  4. Step 4: Simplify right side
    665,655x = 2,125,816,488,324
  5. Step 5: Solve for x
    x = 2,125,816,488,324/665,655
  6. Step 6: Final answer
    x = 3,193,570.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.