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Finding the Third Proportional to 145,640 and 314,320

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Solution

The third proportional to 145,640 and 314,320 is: 678,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,640 : 314,320 = 314,320 : x
  2. Step 2: Convert to fraction form
    145,640/314,320 = 314,320/x
  3. Step 3: Cross multiply
    145,640x = 314,320 × 314,320
  4. Step 4: Simplify right side
    145,640x = 98,797,062,400
  5. Step 5: Solve for x
    x = 98,797,062,400/145,640
  6. Step 6: Final answer
    x = 678,364.89

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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.