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Finding the Third Proportional to 208,587 and 291,572

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Solution

The third proportional to 208,587 and 291,572 is: 407,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,587 : 291,572 = 291,572 : x
  2. Step 2: Convert to fraction form
    208,587/291,572 = 291,572/x
  3. Step 3: Cross multiply
    208,587x = 291,572 × 291,572
  4. Step 4: Simplify right side
    208,587x = 85,014,231,184
  5. Step 5: Solve for x
    x = 85,014,231,184/208,587
  6. Step 6: Final answer
    x = 407,572.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.