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Finding the Third Proportional to 458,992 and 708,912

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Solution

The third proportional to 458,992 and 708,912 is: 1,094,912.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,992 : 708,912 = 708,912 : x
  2. Step 2: Convert to fraction form
    458,992/708,912 = 708,912/x
  3. Step 3: Cross multiply
    458,992x = 708,912 × 708,912
  4. Step 4: Simplify right side
    458,992x = 502,556,223,744
  5. Step 5: Solve for x
    x = 502,556,223,744/458,992
  6. Step 6: Final answer
    x = 1,094,912.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.