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Finding the Third Proportional to 179,306 and 390,152

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Solution

The third proportional to 179,306 and 390,152 is: 848,931.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,306 : 390,152 = 390,152 : x
  2. Step 2: Convert to fraction form
    179,306/390,152 = 390,152/x
  3. Step 3: Cross multiply
    179,306x = 390,152 × 390,152
  4. Step 4: Simplify right side
    179,306x = 152,218,583,104
  5. Step 5: Solve for x
    x = 152,218,583,104/179,306
  6. Step 6: Final answer
    x = 848,931.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.