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Finding the Third Proportional to 131,457 and 287,787

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Solution

The third proportional to 131,457 and 287,787 is: 630,026.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,457 : 287,787 = 287,787 : x
  2. Step 2: Convert to fraction form
    131,457/287,787 = 287,787/x
  3. Step 3: Cross multiply
    131,457x = 287,787 × 287,787
  4. Step 4: Simplify right side
    131,457x = 82,821,357,369
  5. Step 5: Solve for x
    x = 82,821,357,369/131,457
  6. Step 6: Final answer
    x = 630,026.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.