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Finding the Third Proportional to 45,428 and 97,772

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Solution

The third proportional to 45,428 and 97,772 is: 210,428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,428 : 97,772 = 97,772 : x
  2. Step 2: Convert to fraction form
    45,428/97,772 = 97,772/x
  3. Step 3: Cross multiply
    45,428x = 97,772 × 97,772
  4. Step 4: Simplify right side
    45,428x = 9,559,363,984
  5. Step 5: Solve for x
    x = 9,559,363,984/45,428
  6. Step 6: Final answer
    x = 210,428.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.