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Finding the Third Proportional to 275,520 and 403,842

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Solution

The third proportional to 275,520 and 403,842 is: 591,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,520 : 403,842 = 403,842 : x
  2. Step 2: Convert to fraction form
    275,520/403,842 = 403,842/x
  3. Step 3: Cross multiply
    275,520x = 403,842 × 403,842
  4. Step 4: Simplify right side
    275,520x = 163,088,360,964
  5. Step 5: Solve for x
    x = 163,088,360,964/275,520
  6. Step 6: Final answer
    x = 591,929.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.