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Finding the Third Proportional to 408,046.50 and 612,070.50

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Solution

The third proportional to 408,046.50 and 612,070.50 is: 918,106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046.50 : 612,070.50 = 612,070.50 : x
  2. Step 2: Convert to fraction form
    408,046.50/612,070.50 = 612,070.50/x
  3. Step 3: Cross multiply
    408,046.50x = 612,070.50 × 612,070.50
  4. Step 4: Simplify right side
    408,046.50x = 374,630,296,970.25
  5. Step 5: Solve for x
    x = 374,630,296,970.25/408,046.50
  6. Step 6: Final answer
    x = 918,106.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.