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Finding the Third Proportional to 181,682 and 390,988

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Solution

The third proportional to 181,682 and 390,988 is: 841,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,682 : 390,988 = 390,988 : x
  2. Step 2: Convert to fraction form
    181,682/390,988 = 390,988/x
  3. Step 3: Cross multiply
    181,682x = 390,988 × 390,988
  4. Step 4: Simplify right side
    181,682x = 152,871,616,144
  5. Step 5: Solve for x
    x = 152,871,616,144/181,682
  6. Step 6: Final answer
    x = 841,424.12

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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.