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Finding the Third Proportional to 208,729 and 456,842

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Solution

The third proportional to 208,729 and 456,842 is: 999,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,729 : 456,842 = 456,842 : x
  2. Step 2: Convert to fraction form
    208,729/456,842 = 456,842/x
  3. Step 3: Cross multiply
    208,729x = 456,842 × 456,842
  4. Step 4: Simplify right side
    208,729x = 208,704,612,964
  5. Step 5: Solve for x
    x = 208,704,612,964/208,729
  6. Step 6: Final answer
    x = 999,883.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.