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Finding the Third Proportional to 183,313 and 390,817

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Solution

The third proportional to 183,313 and 390,817 is: 833,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,313 : 390,817 = 390,817 : x
  2. Step 2: Convert to fraction form
    183,313/390,817 = 390,817/x
  3. Step 3: Cross multiply
    183,313x = 390,817 × 390,817
  4. Step 4: Simplify right side
    183,313x = 152,737,927,489
  5. Step 5: Solve for x
    x = 152,737,927,489/183,313
  6. Step 6: Final answer
    x = 833,208.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.