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Finding the Third Proportional to 3,742,719.75 and 5,640,688.13

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Solution

The third proportional to 3,742,719.75 and 5,640,688.13 is: 8,501,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742,719.75 : 5,640,688.13 = 5,640,688.13 : x
  2. Step 2: Convert to fraction form
    3,742,719.75/5,640,688.13 = 5,640,688.13/x
  3. Step 3: Cross multiply
    3,742,719.75x = 5,640,688.13 × 5,640,688.13
  4. Step 4: Simplify right side
    3,742,719.75x = 31,817,362,523,516.02
  5. Step 5: Solve for x
    x = 31,817,362,523,516.02/3,742,719.75
  6. Step 6: Final answer
    x = 8,501,134.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.