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Finding the Third Proportional to 78,747 and 121,603.50

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Solution

The third proportional to 78,747 and 121,603.50 is: 187,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,747 : 121,603.50 = 121,603.50 : x
  2. Step 2: Convert to fraction form
    78,747/121,603.50 = 121,603.50/x
  3. Step 3: Cross multiply
    78,747x = 121,603.50 × 121,603.50
  4. Step 4: Simplify right side
    78,747x = 14,787,411,212.25
  5. Step 5: Solve for x
    x = 14,787,411,212.25/78,747
  6. Step 6: Final answer
    x = 187,783.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.