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Finding the Third Proportional to 289,303,370 and 436,645,413

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Solution

The third proportional to 289,303,370 and 436,645,413 is: 659,028,675.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,303,370 : 436,645,413 = 436,645,413 : x
  2. Step 2: Convert to fraction form
    289,303,370/436,645,413 = 436,645,413/x
  3. Step 3: Cross multiply
    289,303,370x = 436,645,413 × 436,645,413
  4. Step 4: Simplify right side
    289,303,370x = 190,659,216,693,940,576
  5. Step 5: Solve for x
    x = 190,659,216,693,940,576/289,303,370
  6. Step 6: Final answer
    x = 659,028,675.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.