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Finding the Third Proportional to 458,542 and 611,551.50

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Solution

The third proportional to 458,542 and 611,551.50 is: 815,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,542 : 611,551.50 = 611,551.50 : x
  2. Step 2: Convert to fraction form
    458,542/611,551.50 = 611,551.50/x
  3. Step 3: Cross multiply
    458,542x = 611,551.50 × 611,551.50
  4. Step 4: Simplify right side
    458,542x = 373,995,237,152.25
  5. Step 5: Solve for x
    x = 373,995,237,152.25/458,542
  6. Step 6: Final answer
    x = 815,618.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.