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Finding the Third Proportional to 346,486,793 and 770,442,573.50

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Solution

The third proportional to 346,486,793 and 770,442,573.50 is: 1,713,143,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,486,793 : 770,442,573.50 = 770,442,573.50 : x
  2. Step 2: Convert to fraction form
    346,486,793/770,442,573.50 = 770,442,573.50/x
  3. Step 3: Cross multiply
    346,486,793x = 770,442,573.50 × 770,442,573.50
  4. Step 4: Simplify right side
    346,486,793x = 593,581,759,061,302,912
  5. Step 5: Solve for x
    x = 593,581,759,061,302,912/346,486,793
  6. Step 6: Final answer
    x = 1,713,143,966.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.