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Finding the Third Proportional to 209,581,039,505 and 455,882,845,757

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Solution

The third proportional to 209,581,039,505 and 455,882,845,757 is: 991,641,083,307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,581,039,505 : 455,882,845,757 = 455,882,845,757 : x
  2. Step 2: Convert to fraction form
    209,581,039,505/455,882,845,757 = 455,882,845,757/x
  3. Step 3: Cross multiply
    209,581,039,505x = 455,882,845,757 × 455,882,845,757
  4. Step 4: Simplify right side
    209,581,039,505x = 207,829,169,055,500,653,821,952
  5. Step 5: Solve for x
    x = 207,829,169,055,500,653,821,952/209,581,039,505
  6. Step 6: Final answer
    x = 991,641,083,307.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.