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Finding the Third Proportional to 454,660 and 688,308

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Solution

The third proportional to 454,660 and 688,308 is: 1,042,026.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,660 : 688,308 = 688,308 : x
  2. Step 2: Convert to fraction form
    454,660/688,308 = 688,308/x
  3. Step 3: Cross multiply
    454,660x = 688,308 × 688,308
  4. Step 4: Simplify right side
    454,660x = 473,767,902,864
  5. Step 5: Solve for x
    x = 473,767,902,864/454,660
  6. Step 6: Final answer
    x = 1,042,026.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.