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Finding the Third Proportional to 78,484 and 112,087.50

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Solution

The third proportional to 78,484 and 112,087.50 is: 160,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,484 : 112,087.50 = 112,087.50 : x
  2. Step 2: Convert to fraction form
    78,484/112,087.50 = 112,087.50/x
  3. Step 3: Cross multiply
    78,484x = 112,087.50 × 112,087.50
  4. Step 4: Simplify right side
    78,484x = 12,563,607,656.25
  5. Step 5: Solve for x
    x = 12,563,607,656.25/78,484
  6. Step 6: Final answer
    x = 160,078.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.