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Finding the Third Proportional to 191,946.38 and 448,564.50

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Solution

The third proportional to 191,946.38 and 448,564.50 is: 1,048,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,946.38 : 448,564.50 = 448,564.50 : x
  2. Step 2: Convert to fraction form
    191,946.38/448,564.50 = 448,564.50/x
  3. Step 3: Cross multiply
    191,946.38x = 448,564.50 × 448,564.50
  4. Step 4: Simplify right side
    191,946.38x = 201,210,110,660.25
  5. Step 5: Solve for x
    x = 201,210,110,660.25/191,946.38
  6. Step 6: Final answer
    x = 1,048,262.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.