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Finding the Third Proportional to 210,985.59 and 301,493.81

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Solution

The third proportional to 210,985.59 and 301,493.81 is: 430,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,985.59 : 301,493.81 = 301,493.81 : x
  2. Step 2: Convert to fraction form
    210,985.59/301,493.81 = 301,493.81/x
  3. Step 3: Cross multiply
    210,985.59x = 301,493.81 × 301,493.81
  4. Step 4: Simplify right side
    210,985.59x = 90,898,518,975.79
  5. Step 5: Solve for x
    x = 90,898,518,975.79/210,985.59
  6. Step 6: Final answer
    x = 430,828.08

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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.