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Finding the Third Proportional to 64,839,990 and 140,032,713.75

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Solution

The third proportional to 64,839,990 and 140,032,713.75 is: 302,423,873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,839,990 : 140,032,713.75 = 140,032,713.75 : x
  2. Step 2: Convert to fraction form
    64,839,990/140,032,713.75 = 140,032,713.75/x
  3. Step 3: Cross multiply
    64,839,990x = 140,032,713.75 × 140,032,713.75
  4. Step 4: Simplify right side
    64,839,990x = 19,609,160,920,189,440
  5. Step 5: Solve for x
    x = 19,609,160,920,189,440/64,839,990
  6. Step 6: Final answer
    x = 302,423,873.29

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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.