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Finding the Third Proportional to 452,748 and 984,120

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Solution

The third proportional to 452,748 and 984,120 is: 2,139,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,748 : 984,120 = 984,120 : x
  2. Step 2: Convert to fraction form
    452,748/984,120 = 984,120/x
  3. Step 3: Cross multiply
    452,748x = 984,120 × 984,120
  4. Step 4: Simplify right side
    452,748x = 968,492,174,400
  5. Step 5: Solve for x
    x = 968,492,174,400/452,748
  6. Step 6: Final answer
    x = 2,139,141.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.