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Finding the Third Proportional to 69,827,916 and 151,742,470

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Solution

The third proportional to 69,827,916 and 151,742,470 is: 329,750,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,827,916 : 151,742,470 = 151,742,470 : x
  2. Step 2: Convert to fraction form
    69,827,916/151,742,470 = 151,742,470/x
  3. Step 3: Cross multiply
    69,827,916x = 151,742,470 × 151,742,470
  4. Step 4: Simplify right side
    69,827,916x = 23,025,777,201,700,900
  5. Step 5: Solve for x
    x = 23,025,777,201,700,900/69,827,916
  6. Step 6: Final answer
    x = 329,750,313.64

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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.