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Finding the Third Proportional to 74,102,561,288 and 114,500,742,924

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Solution

The third proportional to 74,102,561,288 and 114,500,742,924 is: 176,922,631,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,102,561,288 : 114,500,742,924 = 114,500,742,924 : x
  2. Step 2: Convert to fraction form
    74,102,561,288/114,500,742,924 = 114,500,742,924/x
  3. Step 3: Cross multiply
    74,102,561,288x = 114,500,742,924 × 114,500,742,924
  4. Step 4: Simplify right side
    74,102,561,288x = 13,110,420,130,147,935,977,472
  5. Step 5: Solve for x
    x = 13,110,420,130,147,935,977,472/74,102,561,288
  6. Step 6: Final answer
    x = 176,922,631,313.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.