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Finding the Third Proportional to 210,981.59 and 301,487.70

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Solution

The third proportional to 210,981.59 and 301,487.70 is: 430,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,981.59 : 301,487.70 = 301,487.70 : x
  2. Step 2: Convert to fraction form
    210,981.59/301,487.70 = 301,487.70/x
  3. Step 3: Cross multiply
    210,981.59x = 301,487.70 × 301,487.70
  4. Step 4: Simplify right side
    210,981.59x = 90,894,830,424.84
  5. Step 5: Solve for x
    x = 90,894,830,424.84/210,981.59
  6. Step 6: Final answer
    x = 430,818.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.