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Finding the Third Proportional to 245,595 and 380,381

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Solution

The third proportional to 245,595 and 380,381 is: 589,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,595 : 380,381 = 380,381 : x
  2. Step 2: Convert to fraction form
    245,595/380,381 = 380,381/x
  3. Step 3: Cross multiply
    245,595x = 380,381 × 380,381
  4. Step 4: Simplify right side
    245,595x = 144,689,705,161
  5. Step 5: Solve for x
    x = 144,689,705,161/245,595
  6. Step 6: Final answer
    x = 589,139.46

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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.