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Finding the Third Proportional to 74,623 and 103,428

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Solution

The third proportional to 74,623 and 103,428 is: 143,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,623 : 103,428 = 103,428 : x
  2. Step 2: Convert to fraction form
    74,623/103,428 = 103,428/x
  3. Step 3: Cross multiply
    74,623x = 103,428 × 103,428
  4. Step 4: Simplify right side
    74,623x = 10,697,351,184
  5. Step 5: Solve for x
    x = 10,697,351,184/74,623
  6. Step 6: Final answer
    x = 143,351.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.