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Finding the Third Proportional to 210,560 and 309,312

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Solution

The third proportional to 210,560 and 309,312 is: 454,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,560 : 309,312 = 309,312 : x
  2. Step 2: Convert to fraction form
    210,560/309,312 = 309,312/x
  3. Step 3: Cross multiply
    210,560x = 309,312 × 309,312
  4. Step 4: Simplify right side
    210,560x = 95,673,913,344
  5. Step 5: Solve for x
    x = 95,673,913,344/210,560
  6. Step 6: Final answer
    x = 454,378.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.