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Finding the Third Proportional to 253,426 and 548,678

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Solution

The third proportional to 253,426 and 548,678 is: 1,187,911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,426 : 548,678 = 548,678 : x
  2. Step 2: Convert to fraction form
    253,426/548,678 = 548,678/x
  3. Step 3: Cross multiply
    253,426x = 548,678 × 548,678
  4. Step 4: Simplify right side
    253,426x = 301,047,547,684
  5. Step 5: Solve for x
    x = 301,047,547,684/253,426
  6. Step 6: Final answer
    x = 1,187,911.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.