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Finding the Third Proportional to 554,977.50 and 830,236.13

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Solution

The third proportional to 554,977.50 and 830,236.13 is: 1,242,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,977.50 : 830,236.13 = 830,236.13 : x
  2. Step 2: Convert to fraction form
    554,977.50/830,236.13 = 830,236.13/x
  3. Step 3: Cross multiply
    554,977.50x = 830,236.13 × 830,236.13
  4. Step 4: Simplify right side
    554,977.50x = 689,292,023,255.02
  5. Step 5: Solve for x
    x = 689,292,023,255.02/554,977.50
  6. Step 6: Final answer
    x = 1,242,017.96

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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.