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Finding the Third Proportional to 183,547 and 387,830

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Solution

The third proportional to 183,547 and 387,830 is: 819,474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,547 : 387,830 = 387,830 : x
  2. Step 2: Convert to fraction form
    183,547/387,830 = 387,830/x
  3. Step 3: Cross multiply
    183,547x = 387,830 × 387,830
  4. Step 4: Simplify right side
    183,547x = 150,412,108,900
  5. Step 5: Solve for x
    x = 150,412,108,900/183,547
  6. Step 6: Final answer
    x = 819,474.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.