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Finding the Third Proportional to 438,271.50 and 910,239

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Solution

The third proportional to 438,271.50 and 910,239 is: 1,890,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,271.50 : 910,239 = 910,239 : x
  2. Step 2: Convert to fraction form
    438,271.50/910,239 = 910,239/x
  3. Step 3: Cross multiply
    438,271.50x = 910,239 × 910,239
  4. Step 4: Simplify right side
    438,271.50x = 828,535,037,121
  5. Step 5: Solve for x
    x = 828,535,037,121/438,271.50
  6. Step 6: Final answer
    x = 1,890,460.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.