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Finding the Third Proportional to 503.50 and 783.88

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Solution

The third proportional to 503.50 and 783.88 is: 1,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.50 : 783.88 = 783.88 : x
  2. Step 2: Convert to fraction form
    503.50/783.88 = 783.88/x
  3. Step 3: Cross multiply
    503.50x = 783.88 × 783.88
  4. Step 4: Simplify right side
    503.50x = 614,460.02
  5. Step 5: Solve for x
    x = 614,460.02/503.50
  6. Step 6: Final answer
    x = 1,220.38

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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.