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Finding the Third Proportional to 458,640 and 708,408

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Solution

The third proportional to 458,640 and 708,408 is: 1,094,195.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,640 : 708,408 = 708,408 : x
  2. Step 2: Convert to fraction form
    458,640/708,408 = 708,408/x
  3. Step 3: Cross multiply
    458,640x = 708,408 × 708,408
  4. Step 4: Simplify right side
    458,640x = 501,841,894,464
  5. Step 5: Solve for x
    x = 501,841,894,464/458,640
  6. Step 6: Final answer
    x = 1,094,195.65

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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.