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Finding the Third Proportional to 315,282 and 691,804

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Solution

The third proportional to 315,282 and 691,804 is: 1,517,983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,282 : 691,804 = 691,804 : x
  2. Step 2: Convert to fraction form
    315,282/691,804 = 691,804/x
  3. Step 3: Cross multiply
    315,282x = 691,804 × 691,804
  4. Step 4: Simplify right side
    315,282x = 478,592,774,416
  5. Step 5: Solve for x
    x = 478,592,774,416/315,282
  6. Step 6: Final answer
    x = 1,517,983.18

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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.