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Finding the Third Proportional to 486,293 and 781,335

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Solution

The third proportional to 486,293 and 781,335 is: 1,255,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,293 : 781,335 = 781,335 : x
  2. Step 2: Convert to fraction form
    486,293/781,335 = 781,335/x
  3. Step 3: Cross multiply
    486,293x = 781,335 × 781,335
  4. Step 4: Simplify right side
    486,293x = 610,484,382,225
  5. Step 5: Solve for x
    x = 610,484,382,225/486,293
  6. Step 6: Final answer
    x = 1,255,383.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.