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Finding the Third Proportional to 186,709 and 405,130

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Solution

The third proportional to 186,709 and 405,130 is: 879,070.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,709 : 405,130 = 405,130 : x
  2. Step 2: Convert to fraction form
    186,709/405,130 = 405,130/x
  3. Step 3: Cross multiply
    186,709x = 405,130 × 405,130
  4. Step 4: Simplify right side
    186,709x = 164,130,316,900
  5. Step 5: Solve for x
    x = 164,130,316,900/186,709
  6. Step 6: Final answer
    x = 879,070.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.