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Finding the Third Proportional to 178,888.50 and 390,946.50

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Solution

The third proportional to 178,888.50 and 390,946.50 is: 854,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,888.50 : 390,946.50 = 390,946.50 : x
  2. Step 2: Convert to fraction form
    178,888.50/390,946.50 = 390,946.50/x
  3. Step 3: Cross multiply
    178,888.50x = 390,946.50 × 390,946.50
  4. Step 4: Simplify right side
    178,888.50x = 152,839,165,862.25
  5. Step 5: Solve for x
    x = 152,839,165,862.25/178,888.50
  6. Step 6: Final answer
    x = 854,382.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.