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Finding the Third Proportional to 185,140 and 406,688

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Solution

The third proportional to 185,140 and 406,688 is: 893,351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,140 : 406,688 = 406,688 : x
  2. Step 2: Convert to fraction form
    185,140/406,688 = 406,688/x
  3. Step 3: Cross multiply
    185,140x = 406,688 × 406,688
  4. Step 4: Simplify right side
    185,140x = 165,395,129,344
  5. Step 5: Solve for x
    x = 165,395,129,344/185,140
  6. Step 6: Final answer
    x = 893,351.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.