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Finding the Third Proportional to 214,688 and 282,396

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Solution

The third proportional to 214,688 and 282,396 is: 371,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,688 : 282,396 = 282,396 : x
  2. Step 2: Convert to fraction form
    214,688/282,396 = 282,396/x
  3. Step 3: Cross multiply
    214,688x = 282,396 × 282,396
  4. Step 4: Simplify right side
    214,688x = 79,747,500,816
  5. Step 5: Solve for x
    x = 79,747,500,816/214,688
  6. Step 6: Final answer
    x = 371,457.65

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.