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Finding the Third Proportional to 76,428 and 101,931.50

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Solution

The third proportional to 76,428 and 101,931.50 is: 135,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,428 : 101,931.50 = 101,931.50 : x
  2. Step 2: Convert to fraction form
    76,428/101,931.50 = 101,931.50/x
  3. Step 3: Cross multiply
    76,428x = 101,931.50 × 101,931.50
  4. Step 4: Simplify right side
    76,428x = 10,390,030,692.25
  5. Step 5: Solve for x
    x = 10,390,030,692.25/76,428
  6. Step 6: Final answer
    x = 135,945.34

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.