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Finding the Third Proportional to 370,878 and 529,857

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Solution

The third proportional to 370,878 and 529,857 is: 756,983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,878 : 529,857 = 529,857 : x
  2. Step 2: Convert to fraction form
    370,878/529,857 = 529,857/x
  3. Step 3: Cross multiply
    370,878x = 529,857 × 529,857
  4. Step 4: Simplify right side
    370,878x = 280,748,440,449
  5. Step 5: Solve for x
    x = 280,748,440,449/370,878
  6. Step 6: Final answer
    x = 756,983.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.