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Finding the Third Proportional to 309,708 and 473,445

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Solution

The third proportional to 309,708 and 473,445 is: 723,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,708 : 473,445 = 473,445 : x
  2. Step 2: Convert to fraction form
    309,708/473,445 = 473,445/x
  3. Step 3: Cross multiply
    309,708x = 473,445 × 473,445
  4. Step 4: Simplify right side
    309,708x = 224,150,168,025
  5. Step 5: Solve for x
    x = 224,150,168,025/309,708
  6. Step 6: Final answer
    x = 723,746.78

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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.