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Finding the Third Proportional to 272,413 and 577,590

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Solution

The third proportional to 272,413 and 577,590 is: 1,224,648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,413 : 577,590 = 577,590 : x
  2. Step 2: Convert to fraction form
    272,413/577,590 = 577,590/x
  3. Step 3: Cross multiply
    272,413x = 577,590 × 577,590
  4. Step 4: Simplify right side
    272,413x = 333,610,208,100
  5. Step 5: Solve for x
    x = 333,610,208,100/272,413
  6. Step 6: Final answer
    x = 1,224,648.63

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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.