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Finding the Third Proportional to 181,323.56 and 390,506.06

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Solution

The third proportional to 181,323.56 and 390,506.06 is: 841,010.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,323.56 : 390,506.06 = 390,506.06 : x
  2. Step 2: Convert to fraction form
    181,323.56/390,506.06 = 390,506.06/x
  3. Step 3: Cross multiply
    181,323.56x = 390,506.06 × 390,506.06
  4. Step 4: Simplify right side
    181,323.56x = 152,494,984,849.25
  5. Step 5: Solve for x
    x = 152,494,984,849.25/181,323.56
  6. Step 6: Final answer
    x = 841,010.31

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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.