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Finding the Third Proportional to 402,850 and 545,184

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Solution

The third proportional to 402,850 and 545,184 is: 737,807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,850 : 545,184 = 545,184 : x
  2. Step 2: Convert to fraction form
    402,850/545,184 = 545,184/x
  3. Step 3: Cross multiply
    402,850x = 545,184 × 545,184
  4. Step 4: Simplify right side
    402,850x = 297,225,593,856
  5. Step 5: Solve for x
    x = 297,225,593,856/402,850
  6. Step 6: Final answer
    x = 737,807.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.