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Finding the Third Proportional to 390,383.30 and 531,830.81

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Solution

The third proportional to 390,383.30 and 531,830.81 is: 724,528.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,383.30 : 531,830.81 = 531,830.81 : x
  2. Step 2: Convert to fraction form
    390,383.30/531,830.81 = 531,830.81/x
  3. Step 3: Cross multiply
    390,383.30x = 531,830.81 × 531,830.81
  4. Step 4: Simplify right side
    390,383.30x = 282,844,013,124.41
  5. Step 5: Solve for x
    x = 282,844,013,124.41/390,383.30
  6. Step 6: Final answer
    x = 724,528.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.