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Finding the Third Proportional to 64,677,244.50 and 140,270,248.13

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Solution

The third proportional to 64,677,244.50 and 140,270,248.13 is: 304,214,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,677,244.50 : 140,270,248.13 = 140,270,248.13 : x
  2. Step 2: Convert to fraction form
    64,677,244.50/140,270,248.13 = 140,270,248.13/x
  3. Step 3: Cross multiply
    64,677,244.50x = 140,270,248.13 × 140,270,248.13
  4. Step 4: Simplify right side
    64,677,244.50x = 19,675,742,509,049,068
  5. Step 5: Solve for x
    x = 19,675,742,509,049,068/64,677,244.50
  6. Step 6: Final answer
    x = 304,214,297.64

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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.