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Finding the Third Proportional to 534,304.50 and 787,328

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Solution

The third proportional to 534,304.50 and 787,328 is: 1,160,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,304.50 : 787,328 = 787,328 : x
  2. Step 2: Convert to fraction form
    534,304.50/787,328 = 787,328/x
  3. Step 3: Cross multiply
    534,304.50x = 787,328 × 787,328
  4. Step 4: Simplify right side
    534,304.50x = 619,885,379,584
  5. Step 5: Solve for x
    x = 619,885,379,584/534,304.50
  6. Step 6: Final answer
    x = 1,160,172.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.