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Finding the Third Proportional to 77,356.50 and 163,864.50

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Solution

The third proportional to 77,356.50 and 163,864.50 is: 347,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,356.50 : 163,864.50 = 163,864.50 : x
  2. Step 2: Convert to fraction form
    77,356.50/163,864.50 = 163,864.50/x
  3. Step 3: Cross multiply
    77,356.50x = 163,864.50 × 163,864.50
  4. Step 4: Simplify right side
    77,356.50x = 26,851,574,360.25
  5. Step 5: Solve for x
    x = 26,851,574,360.25/77,356.50
  6. Step 6: Final answer
    x = 347,114.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.