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Finding the Third Proportional to 358,886.25 and 782,968.50

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Solution

The third proportional to 358,886.25 and 782,968.50 is: 1,708,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,886.25 : 782,968.50 = 782,968.50 : x
  2. Step 2: Convert to fraction form
    358,886.25/782,968.50 = 782,968.50/x
  3. Step 3: Cross multiply
    358,886.25x = 782,968.50 × 782,968.50
  4. Step 4: Simplify right side
    358,886.25x = 613,039,671,992.25
  5. Step 5: Solve for x
    x = 613,039,671,992.25/358,886.25
  6. Step 6: Final answer
    x = 1,708,172.64

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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.