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Finding the Third Proportional to 378,752 and 828,776

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Solution

The third proportional to 378,752 and 828,776 is: 1,813,507.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,752 : 828,776 = 828,776 : x
  2. Step 2: Convert to fraction form
    378,752/828,776 = 828,776/x
  3. Step 3: Cross multiply
    378,752x = 828,776 × 828,776
  4. Step 4: Simplify right side
    378,752x = 686,869,658,176
  5. Step 5: Solve for x
    x = 686,869,658,176/378,752
  6. Step 6: Final answer
    x = 1,813,507.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.