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Finding the Third Proportional to 164,080 and 386,328

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Solution

The third proportional to 164,080 and 386,328 is: 909,613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,080 : 386,328 = 386,328 : x
  2. Step 2: Convert to fraction form
    164,080/386,328 = 386,328/x
  3. Step 3: Cross multiply
    164,080x = 386,328 × 386,328
  4. Step 4: Simplify right side
    164,080x = 149,249,323,584
  5. Step 5: Solve for x
    x = 149,249,323,584/164,080
  6. Step 6: Final answer
    x = 909,613.14

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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.