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Finding the Third Proportional to 536,564.25 and 752,044.50

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Solution

The third proportional to 536,564.25 and 752,044.50 is: 1,054,060.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,564.25 : 752,044.50 = 752,044.50 : x
  2. Step 2: Convert to fraction form
    536,564.25/752,044.50 = 752,044.50/x
  3. Step 3: Cross multiply
    536,564.25x = 752,044.50 × 752,044.50
  4. Step 4: Simplify right side
    536,564.25x = 565,570,929,980.25
  5. Step 5: Solve for x
    x = 565,570,929,980.25/536,564.25
  6. Step 6: Final answer
    x = 1,054,060.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.