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Finding the Third Proportional to 52,114,764 and 114,508,428

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Solution

The third proportional to 52,114,764 and 114,508,428 is: 251,602,023.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,114,764 : 114,508,428 = 114,508,428 : x
  2. Step 2: Convert to fraction form
    52,114,764/114,508,428 = 114,508,428/x
  3. Step 3: Cross multiply
    52,114,764x = 114,508,428 × 114,508,428
  4. Step 4: Simplify right side
    52,114,764x = 13,112,180,083,031,184
  5. Step 5: Solve for x
    x = 13,112,180,083,031,184/52,114,764
  6. Step 6: Final answer
    x = 251,602,023.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.