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Finding the Third Proportional to 19,535.50 and 42,746

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Solution

The third proportional to 19,535.50 and 42,746 is: 93,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,535.50 : 42,746 = 42,746 : x
  2. Step 2: Convert to fraction form
    19,535.50/42,746 = 42,746/x
  3. Step 3: Cross multiply
    19,535.50x = 42,746 × 42,746
  4. Step 4: Simplify right side
    19,535.50x = 1,827,220,516
  5. Step 5: Solve for x
    x = 1,827,220,516/19,535.50
  6. Step 6: Final answer
    x = 93,533.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.