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Finding the Third Proportional to 283,730 and 421,575

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Solution

The third proportional to 283,730 and 421,575 is: 626,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,730 : 421,575 = 421,575 : x
  2. Step 2: Convert to fraction form
    283,730/421,575 = 421,575/x
  3. Step 3: Cross multiply
    283,730x = 421,575 × 421,575
  4. Step 4: Simplify right side
    283,730x = 177,725,480,625
  5. Step 5: Solve for x
    x = 177,725,480,625/283,730
  6. Step 6: Final answer
    x = 626,389.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.