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Finding the Third Proportional to 144,080 and 310,352

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Solution

The third proportional to 144,080 and 310,352 is: 668,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,080 : 310,352 = 310,352 : x
  2. Step 2: Convert to fraction form
    144,080/310,352 = 310,352/x
  3. Step 3: Cross multiply
    144,080x = 310,352 × 310,352
  4. Step 4: Simplify right side
    144,080x = 96,318,363,904
  5. Step 5: Solve for x
    x = 96,318,363,904/144,080
  6. Step 6: Final answer
    x = 668,506.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.