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Finding the Third Proportional to 688,624 and 1,006,509

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Solution

The third proportional to 688,624 and 1,006,509 is: 1,471,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,624 : 1,006,509 = 1,006,509 : x
  2. Step 2: Convert to fraction form
    688,624/1,006,509 = 1,006,509/x
  3. Step 3: Cross multiply
    688,624x = 1,006,509 × 1,006,509
  4. Step 4: Simplify right side
    688,624x = 1,013,060,367,081
  5. Step 5: Solve for x
    x = 1,013,060,367,081/688,624
  6. Step 6: Final answer
    x = 1,471,137.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.