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Finding the Third Proportional to 30,279,827 and 65,670,673

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Solution

The third proportional to 30,279,827 and 65,670,673 is: 142,426,087.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,279,827 : 65,670,673 = 65,670,673 : x
  2. Step 2: Convert to fraction form
    30,279,827/65,670,673 = 65,670,673/x
  3. Step 3: Cross multiply
    30,279,827x = 65,670,673 × 65,670,673
  4. Step 4: Simplify right side
    30,279,827x = 4,312,637,292,272,929
  5. Step 5: Solve for x
    x = 4,312,637,292,272,929/30,279,827
  6. Step 6: Final answer
    x = 142,426,087.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.