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Finding the Third Proportional to 384,775,284 and 824,033,122

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Solution

The third proportional to 384,775,284 and 824,033,122 is: 1,764,745,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,775,284 : 824,033,122 = 824,033,122 : x
  2. Step 2: Convert to fraction form
    384,775,284/824,033,122 = 824,033,122/x
  3. Step 3: Cross multiply
    384,775,284x = 824,033,122 × 824,033,122
  4. Step 4: Simplify right side
    384,775,284x = 679,030,586,153,066,880
  5. Step 5: Solve for x
    x = 679,030,586,153,066,880/384,775,284
  6. Step 6: Final answer
    x = 1,764,745,851.38

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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.