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Finding the Third Proportional to 287,580 and 625,353

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Solution

The third proportional to 287,580 and 625,353 is: 1,359,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,580 : 625,353 = 625,353 : x
  2. Step 2: Convert to fraction form
    287,580/625,353 = 625,353/x
  3. Step 3: Cross multiply
    287,580x = 625,353 × 625,353
  4. Step 4: Simplify right side
    287,580x = 391,066,374,609
  5. Step 5: Solve for x
    x = 391,066,374,609/287,580
  6. Step 6: Final answer
    x = 1,359,852.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.