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Finding the Third Proportional to 328,294,275.75 and 512,316,873

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Solution

The third proportional to 328,294,275.75 and 512,316,873 is: 799,491,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,294,275.75 : 512,316,873 = 512,316,873 : x
  2. Step 2: Convert to fraction form
    328,294,275.75/512,316,873 = 512,316,873/x
  3. Step 3: Cross multiply
    328,294,275.75x = 512,316,873 × 512,316,873
  4. Step 4: Simplify right side
    328,294,275.75x = 262,468,578,360,498,144
  5. Step 5: Solve for x
    x = 262,468,578,360,498,144/328,294,275.75
  6. Step 6: Final answer
    x = 799,491,790.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.