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Finding the Third Proportional to 303,650 and 657,988

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Solution

The third proportional to 303,650 and 657,988 is: 1,425,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,650 : 657,988 = 657,988 : x
  2. Step 2: Convert to fraction form
    303,650/657,988 = 657,988/x
  3. Step 3: Cross multiply
    303,650x = 657,988 × 657,988
  4. Step 4: Simplify right side
    303,650x = 432,948,208,144
  5. Step 5: Solve for x
    x = 432,948,208,144/303,650
  6. Step 6: Final answer
    x = 1,425,813.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.