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Finding the Third Proportional to 431,640 and 644,864

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Solution

The third proportional to 431,640 and 644,864 is: 963,417.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,640 : 644,864 = 644,864 : x
  2. Step 2: Convert to fraction form
    431,640/644,864 = 644,864/x
  3. Step 3: Cross multiply
    431,640x = 644,864 × 644,864
  4. Step 4: Simplify right side
    431,640x = 415,849,578,496
  5. Step 5: Solve for x
    x = 415,849,578,496/431,640
  6. Step 6: Final answer
    x = 963,417.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.