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Finding the Third Proportional to 142,862,494 and 310,079,420

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Solution

The third proportional to 142,862,494 and 310,079,420 is: 673,019,516.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,862,494 : 310,079,420 = 310,079,420 : x
  2. Step 2: Convert to fraction form
    142,862,494/310,079,420 = 310,079,420/x
  3. Step 3: Cross multiply
    142,862,494x = 310,079,420 × 310,079,420
  4. Step 4: Simplify right side
    142,862,494x = 96,149,246,707,536,400
  5. Step 5: Solve for x
    x = 96,149,246,707,536,400/142,862,494
  6. Step 6: Final answer
    x = 673,019,516.99

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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.