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Finding the Third Proportional to 145,784 and 314,536

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Solution

The third proportional to 145,784 and 314,536 is: 678,626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,784 : 314,536 = 314,536 : x
  2. Step 2: Convert to fraction form
    145,784/314,536 = 314,536/x
  3. Step 3: Cross multiply
    145,784x = 314,536 × 314,536
  4. Step 4: Simplify right side
    145,784x = 98,932,895,296
  5. Step 5: Solve for x
    x = 98,932,895,296/145,784
  6. Step 6: Final answer
    x = 678,626.57

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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.