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Finding the Third Proportional to 66,582,680 and 145,893,686

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Solution

The third proportional to 66,582,680 and 145,893,686 is: 319,677,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,582,680 : 145,893,686 = 145,893,686 : x
  2. Step 2: Convert to fraction form
    66,582,680/145,893,686 = 145,893,686/x
  3. Step 3: Cross multiply
    66,582,680x = 145,893,686 × 145,893,686
  4. Step 4: Simplify right side
    66,582,680x = 21,284,967,614,666,596
  5. Step 5: Solve for x
    x = 21,284,967,614,666,596/66,582,680
  6. Step 6: Final answer
    x = 319,677,243.61

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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.