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Finding the Third Proportional to 42,139 and 97,307

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Solution

The third proportional to 42,139 and 97,307 is: 224,700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,139 : 97,307 = 97,307 : x
  2. Step 2: Convert to fraction form
    42,139/97,307 = 97,307/x
  3. Step 3: Cross multiply
    42,139x = 97,307 × 97,307
  4. Step 4: Simplify right side
    42,139x = 9,468,652,249
  5. Step 5: Solve for x
    x = 9,468,652,249/42,139
  6. Step 6: Final answer
    x = 224,700.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.