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Finding the Third Proportional to 166,928 and 390,964

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Solution

The third proportional to 166,928 and 390,964 is: 915,681.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,928 : 390,964 = 390,964 : x
  2. Step 2: Convert to fraction form
    166,928/390,964 = 390,964/x
  3. Step 3: Cross multiply
    166,928x = 390,964 × 390,964
  4. Step 4: Simplify right side
    166,928x = 152,852,849,296
  5. Step 5: Solve for x
    x = 152,852,849,296/166,928
  6. Step 6: Final answer
    x = 915,681.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.