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Finding the Third Proportional to 643,721 and 973,865

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Solution

The third proportional to 643,721 and 973,865 is: 1,473,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,721 : 973,865 = 973,865 : x
  2. Step 2: Convert to fraction form
    643,721/973,865 = 973,865/x
  3. Step 3: Cross multiply
    643,721x = 973,865 × 973,865
  4. Step 4: Simplify right side
    643,721x = 948,413,038,225
  5. Step 5: Solve for x
    x = 948,413,038,225/643,721
  6. Step 6: Final answer
    x = 1,473,329.34

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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.