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Finding the Third Proportional to 243,564 and 382,178

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Solution

The third proportional to 243,564 and 382,178 is: 599,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,564 : 382,178 = 382,178 : x
  2. Step 2: Convert to fraction form
    243,564/382,178 = 382,178/x
  3. Step 3: Cross multiply
    243,564x = 382,178 × 382,178
  4. Step 4: Simplify right side
    243,564x = 146,060,023,684
  5. Step 5: Solve for x
    x = 146,060,023,684/243,564
  6. Step 6: Final answer
    x = 599,678.21

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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.