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Finding the Third Proportional to 53,420.50 and 83,047

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Solution

The third proportional to 53,420.50 and 83,047 is: 129,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,420.50 : 83,047 = 83,047 : x
  2. Step 2: Convert to fraction form
    53,420.50/83,047 = 83,047/x
  3. Step 3: Cross multiply
    53,420.50x = 83,047 × 83,047
  4. Step 4: Simplify right side
    53,420.50x = 6,896,804,209
  5. Step 5: Solve for x
    x = 6,896,804,209/53,420.50
  6. Step 6: Final answer
    x = 129,104.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.