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Finding the Third Proportional to 272,913 and 413,609.50

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Solution

The third proportional to 272,913 and 413,609.50 is: 626,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,913 : 413,609.50 = 413,609.50 : x
  2. Step 2: Convert to fraction form
    272,913/413,609.50 = 413,609.50/x
  3. Step 3: Cross multiply
    272,913x = 413,609.50 × 413,609.50
  4. Step 4: Simplify right side
    272,913x = 171,072,818,490.25
  5. Step 5: Solve for x
    x = 171,072,818,490.25/272,913
  6. Step 6: Final answer
    x = 626,840.12

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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.