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Finding the Third Proportional to 52,308 and 78,952.50

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Solution

The third proportional to 52,308 and 78,952.50 is: 119,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,308 : 78,952.50 = 78,952.50 : x
  2. Step 2: Convert to fraction form
    52,308/78,952.50 = 78,952.50/x
  3. Step 3: Cross multiply
    52,308x = 78,952.50 × 78,952.50
  4. Step 4: Simplify right side
    52,308x = 6,233,497,256.25
  5. Step 5: Solve for x
    x = 6,233,497,256.25/52,308
  6. Step 6: Final answer
    x = 119,169.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.