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Finding the Third Proportional to 643,520 and 846,240

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Solution

The third proportional to 643,520 and 846,240 is: 1,112,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,520 : 846,240 = 846,240 : x
  2. Step 2: Convert to fraction form
    643,520/846,240 = 846,240/x
  3. Step 3: Cross multiply
    643,520x = 846,240 × 846,240
  4. Step 4: Simplify right side
    643,520x = 716,122,137,600
  5. Step 5: Solve for x
    x = 716,122,137,600/643,520
  6. Step 6: Final answer
    x = 1,112,820.33

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.