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Finding the Third Proportional to 179,158 and 390,476

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Solution

The third proportional to 179,158 and 390,476 is: 851,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,158 : 390,476 = 390,476 : x
  2. Step 2: Convert to fraction form
    179,158/390,476 = 390,476/x
  3. Step 3: Cross multiply
    179,158x = 390,476 × 390,476
  4. Step 4: Simplify right side
    179,158x = 152,471,506,576
  5. Step 5: Solve for x
    x = 152,471,506,576/179,158
  6. Step 6: Final answer
    x = 851,044.92

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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.