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Finding the Third Proportional to 303,054 and 637,428

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Solution

The third proportional to 303,054 and 637,428 is: 1,340,732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,054 : 637,428 = 637,428 : x
  2. Step 2: Convert to fraction form
    303,054/637,428 = 637,428/x
  3. Step 3: Cross multiply
    303,054x = 637,428 × 637,428
  4. Step 4: Simplify right side
    303,054x = 406,314,455,184
  5. Step 5: Solve for x
    x = 406,314,455,184/303,054
  6. Step 6: Final answer
    x = 1,340,732.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.