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Finding the Third Proportional to 183,216 and 390,432

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Solution

The third proportional to 183,216 and 390,432 is: 832,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,216 : 390,432 = 390,432 : x
  2. Step 2: Convert to fraction form
    183,216/390,432 = 390,432/x
  3. Step 3: Cross multiply
    183,216x = 390,432 × 390,432
  4. Step 4: Simplify right side
    183,216x = 152,437,146,624
  5. Step 5: Solve for x
    x = 152,437,146,624/183,216
  6. Step 6: Final answer
    x = 832,007.83

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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.