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Finding the Third Proportional to 509,001,867 and 778,295,304

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Solution

The third proportional to 509,001,867 and 778,295,304 is: 1,190,061,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,001,867 : 778,295,304 = 778,295,304 : x
  2. Step 2: Convert to fraction form
    509,001,867/778,295,304 = 778,295,304/x
  3. Step 3: Cross multiply
    509,001,867x = 778,295,304 × 778,295,304
  4. Step 4: Simplify right side
    509,001,867x = 605,743,580,228,452,352
  5. Step 5: Solve for x
    x = 605,743,580,228,452,352/509,001,867
  6. Step 6: Final answer
    x = 1,190,061,607.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.