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Finding the Third Proportional to 145,273 and 313,480

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Solution

The third proportional to 145,273 and 313,480 is: 676,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,273 : 313,480 = 313,480 : x
  2. Step 2: Convert to fraction form
    145,273/313,480 = 313,480/x
  3. Step 3: Cross multiply
    145,273x = 313,480 × 313,480
  4. Step 4: Simplify right side
    145,273x = 98,269,710,400
  5. Step 5: Solve for x
    x = 98,269,710,400/145,273
  6. Step 6: Final answer
    x = 676,448.55

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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.