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Finding the Third Proportional to 643,709 and 973,860

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Solution

The third proportional to 643,709 and 973,860 is: 1,473,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,709 : 973,860 = 973,860 : x
  2. Step 2: Convert to fraction form
    643,709/973,860 = 973,860/x
  3. Step 3: Cross multiply
    643,709x = 973,860 × 973,860
  4. Step 4: Simplify right side
    643,709x = 948,403,299,600
  5. Step 5: Solve for x
    x = 948,403,299,600/643,709
  6. Step 6: Final answer
    x = 1,473,341.68

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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.