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Finding the Third Proportional to 458,453 and 708,455.50

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Solution

The third proportional to 458,453 and 708,455.50 is: 1,094,788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,453 : 708,455.50 = 708,455.50 : x
  2. Step 2: Convert to fraction form
    458,453/708,455.50 = 708,455.50/x
  3. Step 3: Cross multiply
    458,453x = 708,455.50 × 708,455.50
  4. Step 4: Simplify right side
    458,453x = 501,909,195,480.25
  5. Step 5: Solve for x
    x = 501,909,195,480.25/458,453
  6. Step 6: Final answer
    x = 1,094,788.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.