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Finding the Third Proportional to 308,798 and 660,403

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Solution

The third proportional to 308,798 and 660,403 is: 1,412,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,798 : 660,403 = 660,403 : x
  2. Step 2: Convert to fraction form
    308,798/660,403 = 660,403/x
  3. Step 3: Cross multiply
    308,798x = 660,403 × 660,403
  4. Step 4: Simplify right side
    308,798x = 436,132,122,409
  5. Step 5: Solve for x
    x = 436,132,122,409/308,798
  6. Step 6: Final answer
    x = 1,412,354.10

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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.