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Finding the Third Proportional to 211,594 and 287,046

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Solution

The third proportional to 211,594 and 287,046 is: 389,403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,594 : 287,046 = 287,046 : x
  2. Step 2: Convert to fraction form
    211,594/287,046 = 287,046/x
  3. Step 3: Cross multiply
    211,594x = 287,046 × 287,046
  4. Step 4: Simplify right side
    211,594x = 82,395,406,116
  5. Step 5: Solve for x
    x = 82,395,406,116/211,594
  6. Step 6: Final answer
    x = 389,403.32

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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.