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Finding the Third Proportional to 309,280 and 473,904

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Solution

The third proportional to 309,280 and 473,904 is: 726,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,280 : 473,904 = 473,904 : x
  2. Step 2: Convert to fraction form
    309,280/473,904 = 473,904/x
  3. Step 3: Cross multiply
    309,280x = 473,904 × 473,904
  4. Step 4: Simplify right side
    309,280x = 224,585,001,216
  5. Step 5: Solve for x
    x = 224,585,001,216/309,280
  6. Step 6: Final answer
    x = 726,154.30

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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.