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Finding the Third Proportional to 291,203 and 456,896

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Solution

The third proportional to 291,203 and 456,896 is: 716,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,203 : 456,896 = 456,896 : x
  2. Step 2: Convert to fraction form
    291,203/456,896 = 456,896/x
  3. Step 3: Cross multiply
    291,203x = 456,896 × 456,896
  4. Step 4: Simplify right side
    291,203x = 208,753,954,816
  5. Step 5: Solve for x
    x = 208,753,954,816/291,203
  6. Step 6: Final answer
    x = 716,867.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.