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Finding the Third Proportional to 255,316 and 389,886

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Solution

The third proportional to 255,316 and 389,886 is: 595,384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,316 : 389,886 = 389,886 : x
  2. Step 2: Convert to fraction form
    255,316/389,886 = 389,886/x
  3. Step 3: Cross multiply
    255,316x = 389,886 × 389,886
  4. Step 4: Simplify right side
    255,316x = 152,011,092,996
  5. Step 5: Solve for x
    x = 152,011,092,996/255,316
  6. Step 6: Final answer
    x = 595,384.12

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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.