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Finding the Third Proportional to 145,777.22 and 238,041.28

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Solution

The third proportional to 145,777.22 and 238,041.28 is: 388,700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,777.22 : 238,041.28 = 238,041.28 : x
  2. Step 2: Convert to fraction form
    145,777.22/238,041.28 = 238,041.28/x
  3. Step 3: Cross multiply
    145,777.22x = 238,041.28 × 238,041.28
  4. Step 4: Simplify right side
    145,777.22x = 56,663,651,579.14
  5. Step 5: Solve for x
    x = 56,663,651,579.14/145,777.22
  6. Step 6: Final answer
    x = 388,700.32

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.