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Finding the Third Proportional to 464,526 and 678,864

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Solution

The third proportional to 464,526 and 678,864 is: 992,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,526 : 678,864 = 678,864 : x
  2. Step 2: Convert to fraction form
    464,526/678,864 = 678,864/x
  3. Step 3: Cross multiply
    464,526x = 678,864 × 678,864
  4. Step 4: Simplify right side
    464,526x = 460,856,330,496
  5. Step 5: Solve for x
    x = 460,856,330,496/464,526
  6. Step 6: Final answer
    x = 992,100.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.