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Finding the Third Proportional to 689,093,349 and 1,059,185,965.50

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Solution

The third proportional to 689,093,349 and 1,059,185,965.50 is: 1,628,044,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,093,349 : 1,059,185,965.50 = 1,059,185,965.50 : x
  2. Step 2: Convert to fraction form
    689,093,349/1,059,185,965.50 = 1,059,185,965.50/x
  3. Step 3: Cross multiply
    689,093,349x = 1,059,185,965.50 × 1,059,185,965.50
  4. Step 4: Simplify right side
    689,093,349x = 1,121,874,909,512,167,168
  5. Step 5: Solve for x
    x = 1,121,874,909,512,167,168/689,093,349
  6. Step 6: Final answer
    x = 1,628,044,895.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.