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Finding the Third Proportional to 216,845,907.75 and 325,749,557.25

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Solution

The third proportional to 216,845,907.75 and 325,749,557.25 is: 489,346,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,845,907.75 : 325,749,557.25 = 325,749,557.25 : x
  2. Step 2: Convert to fraction form
    216,845,907.75/325,749,557.25 = 325,749,557.25/x
  3. Step 3: Cross multiply
    216,845,907.75x = 325,749,557.25 × 325,749,557.25
  4. Step 4: Simplify right side
    216,845,907.75x = 106,112,774,048,571,024
  5. Step 5: Solve for x
    x = 106,112,774,048,571,024/216,845,907.75
  6. Step 6: Final answer
    x = 489,346,444.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.