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Finding the Third Proportional to 688,400 and 1,482,264

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Solution

The third proportional to 688,400 and 1,482,264 is: 3,191,613.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,400 : 1,482,264 = 1,482,264 : x
  2. Step 2: Convert to fraction form
    688,400/1,482,264 = 1,482,264/x
  3. Step 3: Cross multiply
    688,400x = 1,482,264 × 1,482,264
  4. Step 4: Simplify right side
    688,400x = 2,197,106,565,696
  5. Step 5: Solve for x
    x = 2,197,106,565,696/688,400
  6. Step 6: Final answer
    x = 3,191,613.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.