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Finding the Third Proportional to 318,080 and 487,312

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Solution

The third proportional to 318,080 and 487,312 is: 746,582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,080 : 487,312 = 487,312 : x
  2. Step 2: Convert to fraction form
    318,080/487,312 = 487,312/x
  3. Step 3: Cross multiply
    318,080x = 487,312 × 487,312
  4. Step 4: Simplify right side
    318,080x = 237,472,985,344
  5. Step 5: Solve for x
    x = 237,472,985,344/318,080
  6. Step 6: Final answer
    x = 746,582.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.