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Finding the Third Proportional to 66,275,460 and 139,419,058.50

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Solution

The third proportional to 66,275,460 and 139,419,058.50 is: 293,286,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,275,460 : 139,419,058.50 = 139,419,058.50 : x
  2. Step 2: Convert to fraction form
    66,275,460/139,419,058.50 = 139,419,058.50/x
  3. Step 3: Cross multiply
    66,275,460x = 139,419,058.50 × 139,419,058.50
  4. Step 4: Simplify right side
    66,275,460x = 19,437,673,873,026,424
  5. Step 5: Solve for x
    x = 19,437,673,873,026,424/66,275,460
  6. Step 6: Final answer
    x = 293,286,140.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.