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Finding the Third Proportional to 576,455 and 920,897

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Solution

The third proportional to 576,455 and 920,897 is: 1,471,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,455 : 920,897 = 920,897 : x
  2. Step 2: Convert to fraction form
    576,455/920,897 = 920,897/x
  3. Step 3: Cross multiply
    576,455x = 920,897 × 920,897
  4. Step 4: Simplify right side
    576,455x = 848,051,284,609
  5. Step 5: Solve for x
    x = 848,051,284,609/576,455
  6. Step 6: Final answer
    x = 1,471,149.15

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.