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Finding the Third Proportional to 291,208 and 456,901

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Solution

The third proportional to 291,208 and 456,901 is: 716,870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,208 : 456,901 = 456,901 : x
  2. Step 2: Convert to fraction form
    291,208/456,901 = 456,901/x
  3. Step 3: Cross multiply
    291,208x = 456,901 × 456,901
  4. Step 4: Simplify right side
    291,208x = 208,758,523,801
  5. Step 5: Solve for x
    x = 208,758,523,801/291,208
  6. Step 6: Final answer
    x = 716,870.84

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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.