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Finding the Third Proportional to 145,936 and 314,656

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Solution

The third proportional to 145,936 and 314,656 is: 678,437.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,936 : 314,656 = 314,656 : x
  2. Step 2: Convert to fraction form
    145,936/314,656 = 314,656/x
  3. Step 3: Cross multiply
    145,936x = 314,656 × 314,656
  4. Step 4: Simplify right side
    145,936x = 99,008,398,336
  5. Step 5: Solve for x
    x = 99,008,398,336/145,936
  6. Step 6: Final answer
    x = 678,437.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.