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Finding the Third Proportional to 346,315.50 and 520,485.75

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Solution

The third proportional to 346,315.50 and 520,485.75 is: 782,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,315.50 : 520,485.75 = 520,485.75 : x
  2. Step 2: Convert to fraction form
    346,315.50/520,485.75 = 520,485.75/x
  3. Step 3: Cross multiply
    346,315.50x = 520,485.75 × 520,485.75
  4. Step 4: Simplify right side
    346,315.50x = 270,905,415,953.06
  5. Step 5: Solve for x
    x = 270,905,415,953.06/346,315.50
  6. Step 6: Final answer
    x = 782,250.34

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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.