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Finding the Third Proportional to 178,634 and 390,748

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Solution

The third proportional to 178,634 and 390,748 is: 854,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,634 : 390,748 = 390,748 : x
  2. Step 2: Convert to fraction form
    178,634/390,748 = 390,748/x
  3. Step 3: Cross multiply
    178,634x = 390,748 × 390,748
  4. Step 4: Simplify right side
    178,634x = 152,683,999,504
  5. Step 5: Solve for x
    x = 152,683,999,504/178,634
  6. Step 6: Final answer
    x = 854,730.90

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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.