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Finding the Third Proportional to 166,297 and 390,430

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Solution

The third proportional to 166,297 and 390,430 is: 916,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,297 : 390,430 = 390,430 : x
  2. Step 2: Convert to fraction form
    166,297/390,430 = 390,430/x
  3. Step 3: Cross multiply
    166,297x = 390,430 × 390,430
  4. Step 4: Simplify right side
    166,297x = 152,435,584,900
  5. Step 5: Solve for x
    x = 152,435,584,900/166,297
  6. Step 6: Final answer
    x = 916,646.63

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.