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Finding the Third Proportional to 287,492 and 624,712

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Solution

The third proportional to 287,492 and 624,712 is: 1,357,481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,492 : 624,712 = 624,712 : x
  2. Step 2: Convert to fraction form
    287,492/624,712 = 624,712/x
  3. Step 3: Cross multiply
    287,492x = 624,712 × 624,712
  4. Step 4: Simplify right side
    287,492x = 390,265,082,944
  5. Step 5: Solve for x
    x = 390,265,082,944/287,492
  6. Step 6: Final answer
    x = 1,357,481.54

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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.