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Finding the Third Proportional to 443,640 and 688,215

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Solution

The third proportional to 443,640 and 688,215 is: 1,067,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,640 : 688,215 = 688,215 : x
  2. Step 2: Convert to fraction form
    443,640/688,215 = 688,215/x
  3. Step 3: Cross multiply
    443,640x = 688,215 × 688,215
  4. Step 4: Simplify right side
    443,640x = 473,639,886,225
  5. Step 5: Solve for x
    x = 473,639,886,225/443,640
  6. Step 6: Final answer
    x = 1,067,622.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.