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Finding the Third Proportional to 315,652 and 425,283

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Solution

The third proportional to 315,652 and 425,283 is: 572,990.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,652 : 425,283 = 425,283 : x
  2. Step 2: Convert to fraction form
    315,652/425,283 = 425,283/x
  3. Step 3: Cross multiply
    315,652x = 425,283 × 425,283
  4. Step 4: Simplify right side
    315,652x = 180,865,630,089
  5. Step 5: Solve for x
    x = 180,865,630,089/315,652
  6. Step 6: Final answer
    x = 572,990.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.