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Finding the Third Proportional to 286,710 and 455,489

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Solution

The third proportional to 286,710 and 455,489 is: 723,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,710 : 455,489 = 455,489 : x
  2. Step 2: Convert to fraction form
    286,710/455,489 = 455,489/x
  3. Step 3: Cross multiply
    286,710x = 455,489 × 455,489
  4. Step 4: Simplify right side
    286,710x = 207,470,229,121
  5. Step 5: Solve for x
    x = 207,470,229,121/286,710
  6. Step 6: Final answer
    x = 723,623.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.