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Finding the Third Proportional to 312,064 and 456,987

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Solution

The third proportional to 312,064 and 456,987 is: 669,212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,064 : 456,987 = 456,987 : x
  2. Step 2: Convert to fraction form
    312,064/456,987 = 456,987/x
  3. Step 3: Cross multiply
    312,064x = 456,987 × 456,987
  4. Step 4: Simplify right side
    312,064x = 208,837,118,169
  5. Step 5: Solve for x
    x = 208,837,118,169/312,064
  6. Step 6: Final answer
    x = 669,212.46

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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.