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Finding the Third Proportional to 312,199 and 464,842

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Solution

The third proportional to 312,199 and 464,842 is: 692,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,199 : 464,842 = 464,842 : x
  2. Step 2: Convert to fraction form
    312,199/464,842 = 464,842/x
  3. Step 3: Cross multiply
    312,199x = 464,842 × 464,842
  4. Step 4: Simplify right side
    312,199x = 216,078,084,964
  5. Step 5: Solve for x
    x = 216,078,084,964/312,199
  6. Step 6: Final answer
    x = 692,116.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.