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Finding the Third Proportional to 68,423,679 and 148,893,345

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Solution

The third proportional to 68,423,679 and 148,893,345 is: 323,999,359.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,423,679 : 148,893,345 = 148,893,345 : x
  2. Step 2: Convert to fraction form
    68,423,679/148,893,345 = 148,893,345/x
  3. Step 3: Cross multiply
    68,423,679x = 148,893,345 × 148,893,345
  4. Step 4: Simplify right side
    68,423,679x = 22,169,228,185,289,024
  5. Step 5: Solve for x
    x = 22,169,228,185,289,024/68,423,679
  6. Step 6: Final answer
    x = 323,999,359.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.