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Finding the Third Proportional to 344,314,100 and 737,749,128.50

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Solution

The third proportional to 344,314,100 and 737,749,128.50 is: 1,580,747,859.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,314,100 : 737,749,128.50 = 737,749,128.50 : x
  2. Step 2: Convert to fraction form
    344,314,100/737,749,128.50 = 737,749,128.50/x
  3. Step 3: Cross multiply
    344,314,100x = 737,749,128.50 × 737,749,128.50
  4. Step 4: Simplify right side
    344,314,100x = 544,273,776,602,509,504
  5. Step 5: Solve for x
    x = 544,273,776,602,509,504/344,314,100
  6. Step 6: Final answer
    x = 1,580,747,859.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.