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Finding the Third Proportional to 298,018 and 646,495

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Solution

The third proportional to 298,018 and 646,495 is: 1,402,451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,018 : 646,495 = 646,495 : x
  2. Step 2: Convert to fraction form
    298,018/646,495 = 646,495/x
  3. Step 3: Cross multiply
    298,018x = 646,495 × 646,495
  4. Step 4: Simplify right side
    298,018x = 417,955,785,025
  5. Step 5: Solve for x
    x = 417,955,785,025/298,018
  6. Step 6: Final answer
    x = 1,402,451.48

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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.