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Finding the Third Proportional to 306,830 and 634,963

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Solution

The third proportional to 306,830 and 634,963 is: 1,314,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,830 : 634,963 = 634,963 : x
  2. Step 2: Convert to fraction form
    306,830/634,963 = 634,963/x
  3. Step 3: Cross multiply
    306,830x = 634,963 × 634,963
  4. Step 4: Simplify right side
    306,830x = 403,178,011,369
  5. Step 5: Solve for x
    x = 403,178,011,369/306,830
  6. Step 6: Final answer
    x = 1,314,011.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.