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Finding the Third Proportional to 287,339,815.13 and 628,341,639.19

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Solution

The third proportional to 287,339,815.13 and 628,341,639.19 is: 1,374,028,918.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,339,815.13 : 628,341,639.19 = 628,341,639.19 : x
  2. Step 2: Convert to fraction form
    287,339,815.13/628,341,639.19 = 628,341,639.19/x
  3. Step 3: Cross multiply
    287,339,815.13x = 628,341,639.19 × 628,341,639.19
  4. Step 4: Simplify right side
    287,339,815.13x = 394,813,215,536,834,432
  5. Step 5: Solve for x
    x = 394,813,215,536,834,432/287,339,815.13
  6. Step 6: Final answer
    x = 1,374,028,918.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.