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Finding the Third Proportional to 309,720 and 473,466

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Solution

The third proportional to 309,720 and 473,466 is: 723,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,720 : 473,466 = 473,466 : x
  2. Step 2: Convert to fraction form
    309,720/473,466 = 473,466/x
  3. Step 3: Cross multiply
    309,720x = 473,466 × 473,466
  4. Step 4: Simplify right side
    309,720x = 224,170,053,156
  5. Step 5: Solve for x
    x = 224,170,053,156/309,720
  6. Step 6: Final answer
    x = 723,782.94

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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.