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Finding the Third Proportional to 182,409 and 390,037

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Solution

The third proportional to 182,409 and 390,037 is: 833,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,409 : 390,037 = 390,037 : x
  2. Step 2: Convert to fraction form
    182,409/390,037 = 390,037/x
  3. Step 3: Cross multiply
    182,409x = 390,037 × 390,037
  4. Step 4: Simplify right side
    182,409x = 152,128,861,369
  5. Step 5: Solve for x
    x = 152,128,861,369/182,409
  6. Step 6: Final answer
    x = 833,998.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.