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Finding the Third Proportional to 272,360 and 420,024

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Solution

The third proportional to 272,360 and 420,024 is: 647,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,360 : 420,024 = 420,024 : x
  2. Step 2: Convert to fraction form
    272,360/420,024 = 420,024/x
  3. Step 3: Cross multiply
    272,360x = 420,024 × 420,024
  4. Step 4: Simplify right side
    272,360x = 176,420,160,576
  5. Step 5: Solve for x
    x = 176,420,160,576/272,360
  6. Step 6: Final answer
    x = 647,746.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.