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Finding the Third Proportional to 643,720 and 973,864

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Solution

The third proportional to 643,720 and 973,864 is: 1,473,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,720 : 973,864 = 973,864 : x
  2. Step 2: Convert to fraction form
    643,720/973,864 = 973,864/x
  3. Step 3: Cross multiply
    643,720x = 973,864 × 973,864
  4. Step 4: Simplify right side
    643,720x = 948,411,090,496
  5. Step 5: Solve for x
    x = 948,411,090,496/643,720
  6. Step 6: Final answer
    x = 1,473,328.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.