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Finding the Third Proportional to 284,580 and 380,808

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Solution

The third proportional to 284,580 and 380,808 is: 509,574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,580 : 380,808 = 380,808 : x
  2. Step 2: Convert to fraction form
    284,580/380,808 = 380,808/x
  3. Step 3: Cross multiply
    284,580x = 380,808 × 380,808
  4. Step 4: Simplify right side
    284,580x = 145,014,732,864
  5. Step 5: Solve for x
    x = 145,014,732,864/284,580
  6. Step 6: Final answer
    x = 509,574.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.