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Finding the Third Proportional to 40,319 and 63,570

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Solution

The third proportional to 40,319 and 63,570 is: 100,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,319 : 63,570 = 63,570 : x
  2. Step 2: Convert to fraction form
    40,319/63,570 = 63,570/x
  3. Step 3: Cross multiply
    40,319x = 63,570 × 63,570
  4. Step 4: Simplify right side
    40,319x = 4,041,144,900
  5. Step 5: Solve for x
    x = 4,041,144,900/40,319
  6. Step 6: Final answer
    x = 100,229.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.