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Finding the Third Proportional to 103,433,228 and 219,475,064

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Solution

The third proportional to 103,433,228 and 219,475,064 is: 465,704,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,433,228 : 219,475,064 = 219,475,064 : x
  2. Step 2: Convert to fraction form
    103,433,228/219,475,064 = 219,475,064/x
  3. Step 3: Cross multiply
    103,433,228x = 219,475,064 × 219,475,064
  4. Step 4: Simplify right side
    103,433,228x = 48,169,303,717,804,096
  5. Step 5: Solve for x
    x = 48,169,303,717,804,096/103,433,228
  6. Step 6: Final answer
    x = 465,704,345.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.