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Finding the Third Proportional to 144,710 and 312,840

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Solution

The third proportional to 144,710 and 312,840 is: 676,310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,710 : 312,840 = 312,840 : x
  2. Step 2: Convert to fraction form
    144,710/312,840 = 312,840/x
  3. Step 3: Cross multiply
    144,710x = 312,840 × 312,840
  4. Step 4: Simplify right side
    144,710x = 97,868,865,600
  5. Step 5: Solve for x
    x = 97,868,865,600/144,710
  6. Step 6: Final answer
    x = 676,310.31

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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.