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Finding the Third Proportional to 245,602 and 380,392

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Solution

The third proportional to 245,602 and 380,392 is: 589,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,602 : 380,392 = 380,392 : x
  2. Step 2: Convert to fraction form
    245,602/380,392 = 380,392/x
  3. Step 3: Cross multiply
    245,602x = 380,392 × 380,392
  4. Step 4: Simplify right side
    245,602x = 144,698,073,664
  5. Step 5: Solve for x
    x = 144,698,073,664/245,602
  6. Step 6: Final answer
    x = 589,156.74

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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.