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Finding the Third Proportional to 310,752 and 666,816

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Solution

The third proportional to 310,752 and 666,816 is: 1,430,863.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,752 : 666,816 = 666,816 : x
  2. Step 2: Convert to fraction form
    310,752/666,816 = 666,816/x
  3. Step 3: Cross multiply
    310,752x = 666,816 × 666,816
  4. Step 4: Simplify right side
    310,752x = 444,643,577,856
  5. Step 5: Solve for x
    x = 444,643,577,856/310,752
  6. Step 6: Final answer
    x = 1,430,863.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.