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Finding the Third Proportional to 205,557,140,444 and 314,243,858,362

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Solution

The third proportional to 205,557,140,444 and 314,243,858,362 is: 480,397,821,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,557,140,444 : 314,243,858,362 = 314,243,858,362 : x
  2. Step 2: Convert to fraction form
    205,557,140,444/314,243,858,362 = 314,243,858,362/x
  3. Step 3: Cross multiply
    205,557,140,444x = 314,243,858,362 × 314,243,858,362
  4. Step 4: Simplify right side
    205,557,140,444x = 98,749,202,518,236,718,956,544
  5. Step 5: Solve for x
    x = 98,749,202,518,236,718,956,544/205,557,140,444
  6. Step 6: Final answer
    x = 480,397,821,768.39

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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.