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Finding the Third Proportional to 77,140,399 and 164,742,631

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Solution

The third proportional to 77,140,399 and 164,742,631 is: 351,827,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,140,399 : 164,742,631 = 164,742,631 : x
  2. Step 2: Convert to fraction form
    77,140,399/164,742,631 = 164,742,631/x
  3. Step 3: Cross multiply
    77,140,399x = 164,742,631 × 164,742,631
  4. Step 4: Simplify right side
    77,140,399x = 27,140,134,468,802,160
  5. Step 5: Solve for x
    x = 27,140,134,468,802,160/77,140,399
  6. Step 6: Final answer
    x = 351,827,768.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.