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Finding the Third Proportional to 103,484 and 142,488

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Solution

The third proportional to 103,484 and 142,488 is: 196,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,484 : 142,488 = 142,488 : x
  2. Step 2: Convert to fraction form
    103,484/142,488 = 142,488/x
  3. Step 3: Cross multiply
    103,484x = 142,488 × 142,488
  4. Step 4: Simplify right side
    103,484x = 20,302,830,144
  5. Step 5: Solve for x
    x = 20,302,830,144/103,484
  6. Step 6: Final answer
    x = 196,192.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.