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Finding the Third Proportional to 556,019 and 920,297

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Solution

The third proportional to 556,019 and 920,297 is: 1,523,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,019 : 920,297 = 920,297 : x
  2. Step 2: Convert to fraction form
    556,019/920,297 = 920,297/x
  3. Step 3: Cross multiply
    556,019x = 920,297 × 920,297
  4. Step 4: Simplify right side
    556,019x = 846,946,568,209
  5. Step 5: Solve for x
    x = 846,946,568,209/556,019
  6. Step 6: Final answer
    x = 1,523,233.14

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.