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Finding the Third Proportional to 145,963 and 314,435

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Solution

The third proportional to 145,963 and 314,435 is: 677,359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,963 : 314,435 = 314,435 : x
  2. Step 2: Convert to fraction form
    145,963/314,435 = 314,435/x
  3. Step 3: Cross multiply
    145,963x = 314,435 × 314,435
  4. Step 4: Simplify right side
    145,963x = 98,869,369,225
  5. Step 5: Solve for x
    x = 98,869,369,225/145,963
  6. Step 6: Final answer
    x = 677,359.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.