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Finding the Third Proportional to 212,443,661.25 and 457,172,403.75

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Solution

The third proportional to 212,443,661.25 and 457,172,403.75 is: 983,821,336.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,443,661.25 : 457,172,403.75 = 457,172,403.75 : x
  2. Step 2: Convert to fraction form
    212,443,661.25/457,172,403.75 = 457,172,403.75/x
  3. Step 3: Cross multiply
    212,443,661.25x = 457,172,403.75 × 457,172,403.75
  4. Step 4: Simplify right side
    212,443,661.25x = 209,006,606,750,553,024
  5. Step 5: Solve for x
    x = 209,006,606,750,553,024/212,443,661.25
  6. Step 6: Final answer
    x = 983,821,336.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.