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Finding the Third Proportional to 30,256,440 and 45,415,642

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Solution

The third proportional to 30,256,440 and 45,415,642 is: 68,169,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256,440 : 45,415,642 = 45,415,642 : x
  2. Step 2: Convert to fraction form
    30,256,440/45,415,642 = 45,415,642/x
  3. Step 3: Cross multiply
    30,256,440x = 45,415,642 × 45,415,642
  4. Step 4: Simplify right side
    30,256,440x = 2,062,580,538,272,164
  5. Step 5: Solve for x
    x = 2,062,580,538,272,164/30,256,440
  6. Step 6: Final answer
    x = 68,169,967.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.