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Finding the Third Proportional to 173,243,398 and 385,221,289

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Solution

The third proportional to 173,243,398 and 385,221,289 is: 856,571,986.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,243,398 : 385,221,289 = 385,221,289 : x
  2. Step 2: Convert to fraction form
    173,243,398/385,221,289 = 385,221,289/x
  3. Step 3: Cross multiply
    173,243,398x = 385,221,289 × 385,221,289
  4. Step 4: Simplify right side
    173,243,398x = 148,395,441,498,821,536
  5. Step 5: Solve for x
    x = 148,395,441,498,821,536/173,243,398
  6. Step 6: Final answer
    x = 856,571,986.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.