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Finding the Third Proportional to 320,577 and 684,058

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Solution

The third proportional to 320,577 and 684,058 is: 1,459,666.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,577 : 684,058 = 684,058 : x
  2. Step 2: Convert to fraction form
    320,577/684,058 = 684,058/x
  3. Step 3: Cross multiply
    320,577x = 684,058 × 684,058
  4. Step 4: Simplify right side
    320,577x = 467,935,347,364
  5. Step 5: Solve for x
    x = 467,935,347,364/320,577
  6. Step 6: Final answer
    x = 1,459,666.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.