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Finding the Third Proportional to 270,347 and 638,179.50

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Solution

The third proportional to 270,347 and 638,179.50 is: 1,506,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,347 : 638,179.50 = 638,179.50 : x
  2. Step 2: Convert to fraction form
    270,347/638,179.50 = 638,179.50/x
  3. Step 3: Cross multiply
    270,347x = 638,179.50 × 638,179.50
  4. Step 4: Simplify right side
    270,347x = 407,273,074,220.25
  5. Step 5: Solve for x
    x = 407,273,074,220.25/270,347
  6. Step 6: Final answer
    x = 1,506,482.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.