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Finding the Third Proportional to 78,275.25 and 170,518.50

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Solution

The third proportional to 78,275.25 and 170,518.50 is: 371,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,275.25 : 170,518.50 = 170,518.50 : x
  2. Step 2: Convert to fraction form
    78,275.25/170,518.50 = 170,518.50/x
  3. Step 3: Cross multiply
    78,275.25x = 170,518.50 × 170,518.50
  4. Step 4: Simplify right side
    78,275.25x = 29,076,558,842.25
  5. Step 5: Solve for x
    x = 29,076,558,842.25/78,275.25
  6. Step 6: Final answer
    x = 371,465.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.