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Finding the Third Proportional to 920,104,641 and 1,980,509,701.50

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Solution

The third proportional to 920,104,641 and 1,980,509,701.50 is: 4,263,013,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,104,641 : 1,980,509,701.50 = 1,980,509,701.50 : x
  2. Step 2: Convert to fraction form
    920,104,641/1,980,509,701.50 = 1,980,509,701.50/x
  3. Step 3: Cross multiply
    920,104,641x = 1,980,509,701.50 × 1,980,509,701.50
  4. Step 4: Simplify right side
    920,104,641x = 3,922,418,677,735,619,072
  5. Step 5: Solve for x
    x = 3,922,418,677,735,619,072/920,104,641
  6. Step 6: Final answer
    x = 4,263,013,686.65

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Why These Related Problems?

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