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Finding the Third Proportional to 272,402 and 420,091

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Solution

The third proportional to 272,402 and 420,091 is: 647,852.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,402 : 420,091 = 420,091 : x
  2. Step 2: Convert to fraction form
    272,402/420,091 = 420,091/x
  3. Step 3: Cross multiply
    272,402x = 420,091 × 420,091
  4. Step 4: Simplify right side
    272,402x = 176,476,448,281
  5. Step 5: Solve for x
    x = 176,476,448,281/272,402
  6. Step 6: Final answer
    x = 647,852.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.