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Finding the Third Proportional to 310,998 and 456,555

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Solution

The third proportional to 310,998 and 456,555 is: 670,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,998 : 456,555 = 456,555 : x
  2. Step 2: Convert to fraction form
    310,998/456,555 = 456,555/x
  3. Step 3: Cross multiply
    310,998x = 456,555 × 456,555
  4. Step 4: Simplify right side
    310,998x = 208,442,468,025
  5. Step 5: Solve for x
    x = 208,442,468,025/310,998
  6. Step 6: Final answer
    x = 670,237.33

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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.