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Finding the Third Proportional to 272,915 and 413,613

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Solution

The third proportional to 272,915 and 413,613 is: 626,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,915 : 413,613 = 413,613 : x
  2. Step 2: Convert to fraction form
    272,915/413,613 = 413,613/x
  3. Step 3: Cross multiply
    272,915x = 413,613 × 413,613
  4. Step 4: Simplify right side
    272,915x = 171,075,713,769
  5. Step 5: Solve for x
    x = 171,075,713,769/272,915
  6. Step 6: Final answer
    x = 626,846.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.