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Finding the Third Proportional to 686,866 and 1,009,717

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Solution

The third proportional to 686,866 and 1,009,717 is: 1,484,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,866 : 1,009,717 = 1,009,717 : x
  2. Step 2: Convert to fraction form
    686,866/1,009,717 = 1,009,717/x
  3. Step 3: Cross multiply
    686,866x = 1,009,717 × 1,009,717
  4. Step 4: Simplify right side
    686,866x = 1,019,528,420,089
  5. Step 5: Solve for x
    x = 1,019,528,420,089/686,866
  6. Step 6: Final answer
    x = 1,484,319.24

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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.