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Finding the Third Proportional to 315,621 and 456,846.75

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Solution

The third proportional to 315,621 and 456,846.75 is: 661,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,621 : 456,846.75 = 456,846.75 : x
  2. Step 2: Convert to fraction form
    315,621/456,846.75 = 456,846.75/x
  3. Step 3: Cross multiply
    315,621x = 456,846.75 × 456,846.75
  4. Step 4: Simplify right side
    315,621x = 208,708,952,985.56
  5. Step 5: Solve for x
    x = 208,708,952,985.56/315,621
  6. Step 6: Final answer
    x = 661,264.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.