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Finding the Third Proportional to 287,705 and 425,982

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Solution

The third proportional to 287,705 and 425,982 is: 630,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,705 : 425,982 = 425,982 : x
  2. Step 2: Convert to fraction form
    287,705/425,982 = 425,982/x
  3. Step 3: Cross multiply
    287,705x = 425,982 × 425,982
  4. Step 4: Simplify right side
    287,705x = 181,460,664,324
  5. Step 5: Solve for x
    x = 181,460,664,324/287,705
  6. Step 6: Final answer
    x = 630,717.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.