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Finding the Third Proportional to 181,680 and 390,984

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Solution

The third proportional to 181,680 and 390,984 is: 841,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,680 : 390,984 = 390,984 : x
  2. Step 2: Convert to fraction form
    181,680/390,984 = 390,984/x
  3. Step 3: Cross multiply
    181,680x = 390,984 × 390,984
  4. Step 4: Simplify right side
    181,680x = 152,868,488,256
  5. Step 5: Solve for x
    x = 152,868,488,256/181,680
  6. Step 6: Final answer
    x = 841,416.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.