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Finding the Third Proportional to 34,349,940 and 74,080,723.50

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Solution

The third proportional to 34,349,940 and 74,080,723.50 is: 159,766,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,349,940 : 74,080,723.50 = 74,080,723.50 : x
  2. Step 2: Convert to fraction form
    34,349,940/74,080,723.50 = 74,080,723.50/x
  3. Step 3: Cross multiply
    34,349,940x = 74,080,723.50 × 74,080,723.50
  4. Step 4: Simplify right side
    34,349,940x = 5,487,953,594,283,452
  5. Step 5: Solve for x
    x = 5,487,953,594,283,452/34,349,940
  6. Step 6: Final answer
    x = 159,766,031.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.