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Finding the Third Proportional to 316,080 and 488,088

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Solution

The third proportional to 316,080 and 488,088 is: 753,701.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,080 : 488,088 = 488,088 : x
  2. Step 2: Convert to fraction form
    316,080/488,088 = 488,088/x
  3. Step 3: Cross multiply
    316,080x = 488,088 × 488,088
  4. Step 4: Simplify right side
    316,080x = 238,229,895,744
  5. Step 5: Solve for x
    x = 238,229,895,744/316,080
  6. Step 6: Final answer
    x = 753,701.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.