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Finding the Third Proportional to 406,410 and 603,730

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Solution

The third proportional to 406,410 and 603,730 is: 896,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,410 : 603,730 = 603,730 : x
  2. Step 2: Convert to fraction form
    406,410/603,730 = 603,730/x
  3. Step 3: Cross multiply
    406,410x = 603,730 × 603,730
  4. Step 4: Simplify right side
    406,410x = 364,489,912,900
  5. Step 5: Solve for x
    x = 364,489,912,900/406,410
  6. Step 6: Final answer
    x = 896,852.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.