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Finding the Third Proportional to 358,459 and 748,289

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Solution

The third proportional to 358,459 and 748,289 is: 1,562,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,459 : 748,289 = 748,289 : x
  2. Step 2: Convert to fraction form
    358,459/748,289 = 748,289/x
  3. Step 3: Cross multiply
    358,459x = 748,289 × 748,289
  4. Step 4: Simplify right side
    358,459x = 559,936,427,521
  5. Step 5: Solve for x
    x = 559,936,427,521/358,459
  6. Step 6: Final answer
    x = 1,562,065.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.