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Finding the Third Proportional to 475,640 and 717,492

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Solution

The third proportional to 475,640 and 717,492 is: 1,082,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,640 : 717,492 = 717,492 : x
  2. Step 2: Convert to fraction form
    475,640/717,492 = 717,492/x
  3. Step 3: Cross multiply
    475,640x = 717,492 × 717,492
  4. Step 4: Simplify right side
    475,640x = 514,794,770,064
  5. Step 5: Solve for x
    x = 514,794,770,064/475,640
  6. Step 6: Final answer
    x = 1,082,320.18

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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.