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Finding the Third Proportional to 459,510 and 686,511

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Solution

The third proportional to 459,510 and 686,511 is: 1,025,652.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,510 : 686,511 = 686,511 : x
  2. Step 2: Convert to fraction form
    459,510/686,511 = 686,511/x
  3. Step 3: Cross multiply
    459,510x = 686,511 × 686,511
  4. Step 4: Simplify right side
    459,510x = 471,297,353,121
  5. Step 5: Solve for x
    x = 471,297,353,121/459,510
  6. Step 6: Final answer
    x = 1,025,652.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.