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Finding the Third Proportional to 643,020 and 946,764

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Solution

The third proportional to 643,020 and 946,764 is: 1,393,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,020 : 946,764 = 946,764 : x
  2. Step 2: Convert to fraction form
    643,020/946,764 = 946,764/x
  3. Step 3: Cross multiply
    643,020x = 946,764 × 946,764
  4. Step 4: Simplify right side
    643,020x = 896,362,071,696
  5. Step 5: Solve for x
    x = 896,362,071,696/643,020
  6. Step 6: Final answer
    x = 1,393,987.86

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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.