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Finding the Third Proportional to 643,719 and 973,862

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Solution

The third proportional to 643,719 and 973,862 is: 1,473,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,719 : 973,862 = 973,862 : x
  2. Step 2: Convert to fraction form
    643,719/973,862 = 973,862/x
  3. Step 3: Cross multiply
    643,719x = 973,862 × 973,862
  4. Step 4: Simplify right side
    643,719x = 948,407,195,044
  5. Step 5: Solve for x
    x = 948,407,195,044/643,719
  6. Step 6: Final answer
    x = 1,473,324.84

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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.