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Finding the Third Proportional to 243,579 and 382,607

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Solution

The third proportional to 243,579 and 382,607 is: 600,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,579 : 382,607 = 382,607 : x
  2. Step 2: Convert to fraction form
    243,579/382,607 = 382,607/x
  3. Step 3: Cross multiply
    243,579x = 382,607 × 382,607
  4. Step 4: Simplify right side
    243,579x = 146,388,116,449
  5. Step 5: Solve for x
    x = 146,388,116,449/243,579
  6. Step 6: Final answer
    x = 600,988.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.