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Finding the Third Proportional to 20,862,078 and 31,913,130

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Solution

The third proportional to 20,862,078 and 31,913,130 is: 48,818,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,862,078 : 31,913,130 = 31,913,130 : x
  2. Step 2: Convert to fraction form
    20,862,078/31,913,130 = 31,913,130/x
  3. Step 3: Cross multiply
    20,862,078x = 31,913,130 × 31,913,130
  4. Step 4: Simplify right side
    20,862,078x = 1,018,447,866,396,900
  5. Step 5: Solve for x
    x = 1,018,447,866,396,900/20,862,078
  6. Step 6: Final answer
    x = 48,818,141.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.