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Finding the Third Proportional to 245,604 and 380,394

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Solution

The third proportional to 245,604 and 380,394 is: 589,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,604 : 380,394 = 380,394 : x
  2. Step 2: Convert to fraction form
    245,604/380,394 = 380,394/x
  3. Step 3: Cross multiply
    245,604x = 380,394 × 380,394
  4. Step 4: Simplify right side
    245,604x = 144,699,595,236
  5. Step 5: Solve for x
    x = 144,699,595,236/245,604
  6. Step 6: Final answer
    x = 589,158.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.