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Finding the Third Proportional to 312,056 and 456,976

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Solution

The third proportional to 312,056 and 456,976 is: 669,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,056 : 456,976 = 456,976 : x
  2. Step 2: Convert to fraction form
    312,056/456,976 = 456,976/x
  3. Step 3: Cross multiply
    312,056x = 456,976 × 456,976
  4. Step 4: Simplify right side
    312,056x = 208,827,064,576
  5. Step 5: Solve for x
    x = 208,827,064,576/312,056
  6. Step 6: Final answer
    x = 669,197.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.