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Finding the Third Proportional to 31,931,331 and 69,907,796.63

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Solution

The third proportional to 31,931,331 and 69,907,796.63 is: 153,050,307.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,931,331 : 69,907,796.63 = 69,907,796.63 : x
  2. Step 2: Convert to fraction form
    31,931,331/69,907,796.63 = 69,907,796.63/x
  3. Step 3: Cross multiply
    31,931,331x = 69,907,796.63 × 69,907,796.63
  4. Step 4: Simplify right side
    31,931,331x = 4,887,100,028,962,361
  5. Step 5: Solve for x
    x = 4,887,100,028,962,361/31,931,331
  6. Step 6: Final answer
    x = 153,050,307.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.