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Finding the Third Proportional to 643,711 and 973,852

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Solution

The third proportional to 643,711 and 973,852 is: 1,473,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,711 : 973,852 = 973,852 : x
  2. Step 2: Convert to fraction form
    643,711/973,852 = 973,852/x
  3. Step 3: Cross multiply
    643,711x = 973,852 × 973,852
  4. Step 4: Simplify right side
    643,711x = 948,387,717,904
  5. Step 5: Solve for x
    x = 948,387,717,904/643,711
  6. Step 6: Final answer
    x = 1,473,312.90

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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.