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Finding the Third Proportional to 303,700 and 657,476

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Solution

The third proportional to 303,700 and 657,476 is: 1,423,360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,700 : 657,476 = 657,476 : x
  2. Step 2: Convert to fraction form
    303,700/657,476 = 657,476/x
  3. Step 3: Cross multiply
    303,700x = 657,476 × 657,476
  4. Step 4: Simplify right side
    303,700x = 432,274,690,576
  5. Step 5: Solve for x
    x = 432,274,690,576/303,700
  6. Step 6: Final answer
    x = 1,423,360.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.