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Finding the Third Proportional to 385,356 and 828,060

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Solution

The third proportional to 385,356 and 828,060 is: 1,779,350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,356 : 828,060 = 828,060 : x
  2. Step 2: Convert to fraction form
    385,356/828,060 = 828,060/x
  3. Step 3: Cross multiply
    385,356x = 828,060 × 828,060
  4. Step 4: Simplify right side
    385,356x = 685,683,363,600
  5. Step 5: Solve for x
    x = 685,683,363,600/385,356
  6. Step 6: Final answer
    x = 1,779,350.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.