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Finding the Third Proportional to 209,755,824 and 317,546,901

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Solution

The third proportional to 209,755,824 and 317,546,901 is: 480,730,558.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,755,824 : 317,546,901 = 317,546,901 : x
  2. Step 2: Convert to fraction form
    209,755,824/317,546,901 = 317,546,901/x
  3. Step 3: Cross multiply
    209,755,824x = 317,546,901 × 317,546,901
  4. Step 4: Simplify right side
    209,755,824x = 100,836,034,334,703,808
  5. Step 5: Solve for x
    x = 100,836,034,334,703,808/209,755,824
  6. Step 6: Final answer
    x = 480,730,558.09

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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.