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Finding the Third Proportional to 385,722 and 563,503.50

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Solution

The third proportional to 385,722 and 563,503.50 is: 823,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,722 : 563,503.50 = 563,503.50 : x
  2. Step 2: Convert to fraction form
    385,722/563,503.50 = 563,503.50/x
  3. Step 3: Cross multiply
    385,722x = 563,503.50 × 563,503.50
  4. Step 4: Simplify right side
    385,722x = 317,536,194,512.25
  5. Step 5: Solve for x
    x = 317,536,194,512.25/385,722
  6. Step 6: Final answer
    x = 823,225.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.