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Finding the Third Proportional to 298,902 and 457,029

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Solution

The third proportional to 298,902 and 457,029 is: 698,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,902 : 457,029 = 457,029 : x
  2. Step 2: Convert to fraction form
    298,902/457,029 = 457,029/x
  3. Step 3: Cross multiply
    298,902x = 457,029 × 457,029
  4. Step 4: Simplify right side
    298,902x = 208,875,506,841
  5. Step 5: Solve for x
    x = 208,875,506,841/298,902
  6. Step 6: Final answer
    x = 698,809.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.