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Finding the Third Proportional to 209,755,827 and 317,546,905.50

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Solution

The third proportional to 209,755,827 and 317,546,905.50 is: 480,730,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,755,827 : 317,546,905.50 = 317,546,905.50 : x
  2. Step 2: Convert to fraction form
    209,755,827/317,546,905.50 = 317,546,905.50/x
  3. Step 3: Cross multiply
    209,755,827x = 317,546,905.50 × 317,546,905.50
  4. Step 4: Simplify right side
    209,755,827x = 100,836,037,192,625,936
  5. Step 5: Solve for x
    x = 100,836,037,192,625,936/209,755,827
  6. Step 6: Final answer
    x = 480,730,564.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.