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Finding the Third Proportional to 343,420.88 and 504,842.63

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Solution

The third proportional to 343,420.88 and 504,842.63 is: 742,139.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,420.88 : 504,842.63 = 504,842.63 : x
  2. Step 2: Convert to fraction form
    343,420.88/504,842.63 = 504,842.63/x
  3. Step 3: Cross multiply
    343,420.88x = 504,842.63 × 504,842.63
  4. Step 4: Simplify right side
    343,420.88x = 254,866,076,016.89
  5. Step 5: Solve for x
    x = 254,866,076,016.89/343,420.88
  6. Step 6: Final answer
    x = 742,139.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.