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Finding the Third Proportional to 483,324 and 710,184

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Solution

The third proportional to 483,324 and 710,184 is: 1,043,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,324 : 710,184 = 710,184 : x
  2. Step 2: Convert to fraction form
    483,324/710,184 = 710,184/x
  3. Step 3: Cross multiply
    483,324x = 710,184 × 710,184
  4. Step 4: Simplify right side
    483,324x = 504,361,313,856
  5. Step 5: Solve for x
    x = 504,361,313,856/483,324
  6. Step 6: Final answer
    x = 1,043,526.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.