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Finding the Third Proportional to 688,206 and 1,036,287

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Solution

The third proportional to 688,206 and 1,036,287 is: 1,560,420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,206 : 1,036,287 = 1,036,287 : x
  2. Step 2: Convert to fraction form
    688,206/1,036,287 = 1,036,287/x
  3. Step 3: Cross multiply
    688,206x = 1,036,287 × 1,036,287
  4. Step 4: Simplify right side
    688,206x = 1,073,890,746,369
  5. Step 5: Solve for x
    x = 1,073,890,746,369/688,206
  6. Step 6: Final answer
    x = 1,560,420.49

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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.