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Finding the Third Proportional to 306,468 and 475,740

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Solution

The third proportional to 306,468 and 475,740 is: 738,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,468 : 475,740 = 475,740 : x
  2. Step 2: Convert to fraction form
    306,468/475,740 = 475,740/x
  3. Step 3: Cross multiply
    306,468x = 475,740 × 475,740
  4. Step 4: Simplify right side
    306,468x = 226,328,547,600
  5. Step 5: Solve for x
    x = 226,328,547,600/306,468
  6. Step 6: Final answer
    x = 738,506.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.