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Finding the Third Proportional to 640,534 and 1,482,678

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Solution

The third proportional to 640,534 and 1,482,678 is: 3,432,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,534 : 1,482,678 = 1,482,678 : x
  2. Step 2: Convert to fraction form
    640,534/1,482,678 = 1,482,678/x
  3. Step 3: Cross multiply
    640,534x = 1,482,678 × 1,482,678
  4. Step 4: Simplify right side
    640,534x = 2,198,334,051,684
  5. Step 5: Solve for x
    x = 2,198,334,051,684/640,534
  6. Step 6: Final answer
    x = 3,432,033.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.