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Finding the Third Proportional to 272,370 and 577,509

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Solution

The third proportional to 272,370 and 577,509 is: 1,224,498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,370 : 577,509 = 577,509 : x
  2. Step 2: Convert to fraction form
    272,370/577,509 = 577,509/x
  3. Step 3: Cross multiply
    272,370x = 577,509 × 577,509
  4. Step 4: Simplify right side
    272,370x = 333,516,645,081
  5. Step 5: Solve for x
    x = 333,516,645,081/272,370
  6. Step 6: Final answer
    x = 1,224,498.46

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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.