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Finding the Third Proportional to 346,300.50 and 520,453.50

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Solution

The third proportional to 346,300.50 and 520,453.50 is: 782,187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,300.50 : 520,453.50 = 520,453.50 : x
  2. Step 2: Convert to fraction form
    346,300.50/520,453.50 = 520,453.50/x
  3. Step 3: Cross multiply
    346,300.50x = 520,453.50 × 520,453.50
  4. Step 4: Simplify right side
    346,300.50x = 270,871,845,662.25
  5. Step 5: Solve for x
    x = 270,871,845,662.25/346,300.50
  6. Step 6: Final answer
    x = 782,187.28

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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.