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Finding the Third Proportional to 72,030 and 96,970

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Solution

The third proportional to 72,030 and 96,970 is: 130,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,030 : 96,970 = 96,970 : x
  2. Step 2: Convert to fraction form
    72,030/96,970 = 96,970/x
  3. Step 3: Cross multiply
    72,030x = 96,970 × 96,970
  4. Step 4: Simplify right side
    72,030x = 9,403,180,900
  5. Step 5: Solve for x
    x = 9,403,180,900/72,030
  6. Step 6: Final answer
    x = 130,545.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.