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Finding the Third Proportional to 77,140,397.25 and 164,742,626.25

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Solution

The third proportional to 77,140,397.25 and 164,742,626.25 is: 351,827,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,140,397.25 : 164,742,626.25 = 164,742,626.25 : x
  2. Step 2: Convert to fraction form
    77,140,397.25/164,742,626.25 = 164,742,626.25/x
  3. Step 3: Cross multiply
    77,140,397.25x = 164,742,626.25 × 164,742,626.25
  4. Step 4: Simplify right side
    77,140,397.25x = 27,140,132,903,747,188
  5. Step 5: Solve for x
    x = 27,140,132,903,747,188/77,140,397.25
  6. Step 6: Final answer
    x = 351,827,756.55

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