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Finding the Third Proportional to 858,302 and 1,298,497

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Solution

The third proportional to 858,302 and 1,298,497 is: 1,964,453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,302 : 1,298,497 = 1,298,497 : x
  2. Step 2: Convert to fraction form
    858,302/1,298,497 = 1,298,497/x
  3. Step 3: Cross multiply
    858,302x = 1,298,497 × 1,298,497
  4. Step 4: Simplify right side
    858,302x = 1,686,094,459,009
  5. Step 5: Solve for x
    x = 1,686,094,459,009/858,302
  6. Step 6: Final answer
    x = 1,964,453.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.