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Finding the Third Proportional to 137,020 and 298,877

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Solution

The third proportional to 137,020 and 298,877 is: 651,930.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,020 : 298,877 = 298,877 : x
  2. Step 2: Convert to fraction form
    137,020/298,877 = 298,877/x
  3. Step 3: Cross multiply
    137,020x = 298,877 × 298,877
  4. Step 4: Simplify right side
    137,020x = 89,327,461,129
  5. Step 5: Solve for x
    x = 89,327,461,129/137,020
  6. Step 6: Final answer
    x = 651,930.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.