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Finding the Third Proportional to 431,595 and 653,390

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Solution

The third proportional to 431,595 and 653,390 is: 989,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,595 : 653,390 = 653,390 : x
  2. Step 2: Convert to fraction form
    431,595/653,390 = 653,390/x
  3. Step 3: Cross multiply
    431,595x = 653,390 × 653,390
  4. Step 4: Simplify right side
    431,595x = 426,918,492,100
  5. Step 5: Solve for x
    x = 426,918,492,100/431,595
  6. Step 6: Final answer
    x = 989,164.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.