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Finding the Third Proportional to 264,417 and 402,820

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Solution

The third proportional to 264,417 and 402,820 is: 613,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,417 : 402,820 = 402,820 : x
  2. Step 2: Convert to fraction form
    264,417/402,820 = 402,820/x
  3. Step 3: Cross multiply
    264,417x = 402,820 × 402,820
  4. Step 4: Simplify right side
    264,417x = 162,263,952,400
  5. Step 5: Solve for x
    x = 162,263,952,400/264,417
  6. Step 6: Final answer
    x = 613,666.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.