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Finding the Third Proportional to 310,556,673 and 664,738,528.50

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Solution

The third proportional to 310,556,673 and 664,738,528.50 is: 1,422,855,632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,556,673 : 664,738,528.50 = 664,738,528.50 : x
  2. Step 2: Convert to fraction form
    310,556,673/664,738,528.50 = 664,738,528.50/x
  3. Step 3: Cross multiply
    310,556,673x = 664,738,528.50 × 664,738,528.50
  4. Step 4: Simplify right side
    310,556,673x = 441,877,311,272,345,344
  5. Step 5: Solve for x
    x = 441,877,311,272,345,344/310,556,673
  6. Step 6: Final answer
    x = 1,422,855,632.13

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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.