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Finding the Third Proportional to 310,707 and 665,664

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Solution

The third proportional to 310,707 and 665,664 is: 1,426,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,707 : 665,664 = 665,664 : x
  2. Step 2: Convert to fraction form
    310,707/665,664 = 665,664/x
  3. Step 3: Cross multiply
    310,707x = 665,664 × 665,664
  4. Step 4: Simplify right side
    310,707x = 443,108,560,896
  5. Step 5: Solve for x
    x = 443,108,560,896/310,707
  6. Step 6: Final answer
    x = 1,426,129.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.