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Finding the Third Proportional to 42,954 and 64,510.50

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Solution

The third proportional to 42,954 and 64,510.50 is: 96,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,954 : 64,510.50 = 64,510.50 : x
  2. Step 2: Convert to fraction form
    42,954/64,510.50 = 64,510.50/x
  3. Step 3: Cross multiply
    42,954x = 64,510.50 × 64,510.50
  4. Step 4: Simplify right side
    42,954x = 4,161,604,610.25
  5. Step 5: Solve for x
    x = 4,161,604,610.25/42,954
  6. Step 6: Final answer
    x = 96,885.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.