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Finding the Third Proportional to 688,986 and 1,013,787

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Solution

The third proportional to 688,986 and 1,013,787 is: 1,491,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,986 : 1,013,787 = 1,013,787 : x
  2. Step 2: Convert to fraction form
    688,986/1,013,787 = 1,013,787/x
  3. Step 3: Cross multiply
    688,986x = 1,013,787 × 1,013,787
  4. Step 4: Simplify right side
    688,986x = 1,027,764,081,369
  5. Step 5: Solve for x
    x = 1,027,764,081,369/688,986
  6. Step 6: Final answer
    x = 1,491,705.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.