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Finding the Third Proportional to 31,345,758 and 66,484,272

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Solution

The third proportional to 31,345,758 and 66,484,272 is: 141,012,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,345,758 : 66,484,272 = 66,484,272 : x
  2. Step 2: Convert to fraction form
    31,345,758/66,484,272 = 66,484,272/x
  3. Step 3: Cross multiply
    31,345,758x = 66,484,272 × 66,484,272
  4. Step 4: Simplify right side
    31,345,758x = 4,420,158,423,369,984
  5. Step 5: Solve for x
    x = 4,420,158,423,369,984/31,345,758
  6. Step 6: Final answer
    x = 141,012,969.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.