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Finding the Third Proportional to 643,080 and 946,032

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Solution

The third proportional to 643,080 and 946,032 is: 1,391,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,080 : 946,032 = 946,032 : x
  2. Step 2: Convert to fraction form
    643,080/946,032 = 946,032/x
  3. Step 3: Cross multiply
    643,080x = 946,032 × 946,032
  4. Step 4: Simplify right side
    643,080x = 894,976,545,024
  5. Step 5: Solve for x
    x = 894,976,545,024/643,080
  6. Step 6: Final answer
    x = 1,391,703.28

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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.