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Finding the Third Proportional to 100,214,820 and 209,592,531

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Solution

The third proportional to 100,214,820 and 209,592,531 is: 438,348,629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,214,820 : 209,592,531 = 209,592,531 : x
  2. Step 2: Convert to fraction form
    100,214,820/209,592,531 = 209,592,531/x
  3. Step 3: Cross multiply
    100,214,820x = 209,592,531 × 209,592,531
  4. Step 4: Simplify right side
    100,214,820x = 43,929,029,050,985,960
  5. Step 5: Solve for x
    x = 43,929,029,050,985,960/100,214,820
  6. Step 6: Final answer
    x = 438,348,629.98

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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.