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Finding the Third Proportional to 13,841,298 and 30,289,260

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Solution

The third proportional to 13,841,298 and 30,289,260 is: 66,282,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841,298 : 30,289,260 = 30,289,260 : x
  2. Step 2: Convert to fraction form
    13,841,298/30,289,260 = 30,289,260/x
  3. Step 3: Cross multiply
    13,841,298x = 30,289,260 × 30,289,260
  4. Step 4: Simplify right side
    13,841,298x = 917,439,271,347,600
  5. Step 5: Solve for x
    x = 917,439,271,347,600/13,841,298
  6. Step 6: Final answer
    x = 66,282,748.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.