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Finding the Third Proportional to 688,900 and 1,086,175

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Solution

The third proportional to 688,900 and 1,086,175 is: 1,712,550.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,900 : 1,086,175 = 1,086,175 : x
  2. Step 2: Convert to fraction form
    688,900/1,086,175 = 1,086,175/x
  3. Step 3: Cross multiply
    688,900x = 1,086,175 × 1,086,175
  4. Step 4: Simplify right side
    688,900x = 1,179,776,130,625
  5. Step 5: Solve for x
    x = 1,179,776,130,625/688,900
  6. Step 6: Final answer
    x = 1,712,550.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.