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Finding the Third Proportional to 312,040 and 456,951

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Solution

The third proportional to 312,040 and 456,951 is: 669,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,040 : 456,951 = 456,951 : x
  2. Step 2: Convert to fraction form
    312,040/456,951 = 456,951/x
  3. Step 3: Cross multiply
    312,040x = 456,951 × 456,951
  4. Step 4: Simplify right side
    312,040x = 208,804,216,401
  5. Step 5: Solve for x
    x = 208,804,216,401/312,040
  6. Step 6: Final answer
    x = 669,158.49

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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.