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Finding the Third Proportional to 179,377 and 390,283

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Solution

The third proportional to 179,377 and 390,283 is: 849,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,377 : 390,283 = 390,283 : x
  2. Step 2: Convert to fraction form
    179,377/390,283 = 390,283/x
  3. Step 3: Cross multiply
    179,377x = 390,283 × 390,283
  4. Step 4: Simplify right side
    179,377x = 152,320,820,089
  5. Step 5: Solve for x
    x = 152,320,820,089/179,377
  6. Step 6: Final answer
    x = 849,165.84

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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.