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Finding the Third Proportional to 548,528 and 828,640

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Solution

The third proportional to 548,528 and 828,640 is: 1,251,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,528 : 828,640 = 828,640 : x
  2. Step 2: Convert to fraction form
    548,528/828,640 = 828,640/x
  3. Step 3: Cross multiply
    548,528x = 828,640 × 828,640
  4. Step 4: Simplify right side
    548,528x = 686,644,249,600
  5. Step 5: Solve for x
    x = 686,644,249,600/548,528
  6. Step 6: Final answer
    x = 1,251,794.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.