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Finding the Third Proportional to 145,230 and 314,584

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Solution

The third proportional to 145,230 and 314,584 is: 681,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,230 : 314,584 = 314,584 : x
  2. Step 2: Convert to fraction form
    145,230/314,584 = 314,584/x
  3. Step 3: Cross multiply
    145,230x = 314,584 × 314,584
  4. Step 4: Simplify right side
    145,230x = 98,963,093,056
  5. Step 5: Solve for x
    x = 98,963,093,056/145,230
  6. Step 6: Final answer
    x = 681,423.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.