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Finding the Third Proportional to 178,908.75 and 390,582

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Solution

The third proportional to 178,908.75 and 390,582 is: 852,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,908.75 : 390,582 = 390,582 : x
  2. Step 2: Convert to fraction form
    178,908.75/390,582 = 390,582/x
  3. Step 3: Cross multiply
    178,908.75x = 390,582 × 390,582
  4. Step 4: Simplify right side
    178,908.75x = 152,554,298,724
  5. Step 5: Solve for x
    x = 152,554,298,724/178,908.75
  6. Step 6: Final answer
    x = 852,693.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.