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Finding the Third Proportional to 437,403 and 558,904.50

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Solution

The third proportional to 437,403 and 558,904.50 is: 714,156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,403 : 558,904.50 = 558,904.50 : x
  2. Step 2: Convert to fraction form
    437,403/558,904.50 = 558,904.50/x
  3. Step 3: Cross multiply
    437,403x = 558,904.50 × 558,904.50
  4. Step 4: Simplify right side
    437,403x = 312,374,240,120.25
  5. Step 5: Solve for x
    x = 312,374,240,120.25/437,403
  6. Step 6: Final answer
    x = 714,156.60

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.