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Finding the Third Proportional to 143,688 and 310,320

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Solution

The third proportional to 143,688 and 310,320 is: 670,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,688 : 310,320 = 310,320 : x
  2. Step 2: Convert to fraction form
    143,688/310,320 = 310,320/x
  3. Step 3: Cross multiply
    143,688x = 310,320 × 310,320
  4. Step 4: Simplify right side
    143,688x = 96,298,502,400
  5. Step 5: Solve for x
    x = 96,298,502,400/143,688
  6. Step 6: Final answer
    x = 670,191.68

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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.