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Finding the Third Proportional to 978,356.25 and 2,130,399.50

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Solution

The third proportional to 978,356.25 and 2,130,399.50 is: 4,639,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,356.25 : 2,130,399.50 = 2,130,399.50 : x
  2. Step 2: Convert to fraction form
    978,356.25/2,130,399.50 = 2,130,399.50/x
  3. Step 3: Cross multiply
    978,356.25x = 2,130,399.50 × 2,130,399.50
  4. Step 4: Simplify right side
    978,356.25x = 4,538,602,029,600.25
  5. Step 5: Solve for x
    x = 4,538,602,029,600.25/978,356.25
  6. Step 6: Final answer
    x = 4,639,007.55

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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.