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Finding the Third Proportional to 286,710 and 455,409

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Solution

The third proportional to 286,710 and 455,409 is: 723,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,710 : 455,409 = 455,409 : x
  2. Step 2: Convert to fraction form
    286,710/455,409 = 455,409/x
  3. Step 3: Cross multiply
    286,710x = 455,409 × 455,409
  4. Step 4: Simplify right side
    286,710x = 207,397,357,281
  5. Step 5: Solve for x
    x = 207,397,357,281/286,710
  6. Step 6: Final answer
    x = 723,369.81

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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.