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Finding the Third Proportional to 325,140 and 431,536

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Solution

The third proportional to 325,140 and 431,536 is: 572,748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,140 : 431,536 = 431,536 : x
  2. Step 2: Convert to fraction form
    325,140/431,536 = 431,536/x
  3. Step 3: Cross multiply
    325,140x = 431,536 × 431,536
  4. Step 4: Simplify right side
    325,140x = 186,223,319,296
  5. Step 5: Solve for x
    x = 186,223,319,296/325,140
  6. Step 6: Final answer
    x = 572,748.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.