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Finding the Third Proportional to 228,998 and 488,430

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Solution

The third proportional to 228,998 and 488,430 is: 1,041,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,998 : 488,430 = 488,430 : x
  2. Step 2: Convert to fraction form
    228,998/488,430 = 488,430/x
  3. Step 3: Cross multiply
    228,998x = 488,430 × 488,430
  4. Step 4: Simplify right side
    228,998x = 238,563,864,900
  5. Step 5: Solve for x
    x = 238,563,864,900/228,998
  6. Step 6: Final answer
    x = 1,041,772.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.