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Finding the Third Proportional to 781,302 and 1,658,565

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Solution

The third proportional to 781,302 and 1,658,565 is: 3,520,838.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,302 : 1,658,565 = 1,658,565 : x
  2. Step 2: Convert to fraction form
    781,302/1,658,565 = 1,658,565/x
  3. Step 3: Cross multiply
    781,302x = 1,658,565 × 1,658,565
  4. Step 4: Simplify right side
    781,302x = 2,750,837,859,225
  5. Step 5: Solve for x
    x = 2,750,837,859,225/781,302
  6. Step 6: Final answer
    x = 3,520,838.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.