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Finding the Third Proportional to 209,936,228 and 458,076,920

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Solution

The third proportional to 209,936,228 and 458,076,920 is: 999,515,265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,936,228 : 458,076,920 = 458,076,920 : x
  2. Step 2: Convert to fraction form
    209,936,228/458,076,920 = 458,076,920/x
  3. Step 3: Cross multiply
    209,936,228x = 458,076,920 × 458,076,920
  4. Step 4: Simplify right side
    209,936,228x = 209,834,464,636,686,400
  5. Step 5: Solve for x
    x = 209,834,464,636,686,400/209,936,228
  6. Step 6: Final answer
    x = 999,515,265.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.