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Finding the Third Proportional to 768,426 and 1,655,220

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Solution

The third proportional to 768,426 and 1,655,220 is: 3,565,409.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,426 : 1,655,220 = 1,655,220 : x
  2. Step 2: Convert to fraction form
    768,426/1,655,220 = 1,655,220/x
  3. Step 3: Cross multiply
    768,426x = 1,655,220 × 1,655,220
  4. Step 4: Simplify right side
    768,426x = 2,739,753,248,400
  5. Step 5: Solve for x
    x = 2,739,753,248,400/768,426
  6. Step 6: Final answer
    x = 3,565,409.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.