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Finding the Third Proportional to 291,204 and 456,897

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Solution

The third proportional to 291,204 and 456,897 is: 716,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,204 : 456,897 = 456,897 : x
  2. Step 2: Convert to fraction form
    291,204/456,897 = 456,897/x
  3. Step 3: Cross multiply
    291,204x = 456,897 × 456,897
  4. Step 4: Simplify right side
    291,204x = 208,754,868,609
  5. Step 5: Solve for x
    x = 208,754,868,609/291,204
  6. Step 6: Final answer
    x = 716,868.14

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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.