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Finding the Third Proportional to 537,640 and 839,120

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Solution

The third proportional to 537,640 and 839,120 is: 1,309,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,640 : 839,120 = 839,120 : x
  2. Step 2: Convert to fraction form
    537,640/839,120 = 839,120/x
  3. Step 3: Cross multiply
    537,640x = 839,120 × 839,120
  4. Step 4: Simplify right side
    537,640x = 704,122,374,400
  5. Step 5: Solve for x
    x = 704,122,374,400/537,640
  6. Step 6: Final answer
    x = 1,309,654.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.