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Finding the Third Proportional to 643,178 and 945,498

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Solution

The third proportional to 643,178 and 945,498 is: 1,389,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,178 : 945,498 = 945,498 : x
  2. Step 2: Convert to fraction form
    643,178/945,498 = 945,498/x
  3. Step 3: Cross multiply
    643,178x = 945,498 × 945,498
  4. Step 4: Simplify right side
    643,178x = 893,966,468,004
  5. Step 5: Solve for x
    x = 893,966,468,004/643,178
  6. Step 6: Final answer
    x = 1,389,920.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.