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Finding the Third Proportional to 423,432 and 881,712

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Solution

The third proportional to 423,432 and 881,712 is: 1,835,987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,432 : 881,712 = 881,712 : x
  2. Step 2: Convert to fraction form
    423,432/881,712 = 881,712/x
  3. Step 3: Cross multiply
    423,432x = 881,712 × 881,712
  4. Step 4: Simplify right side
    423,432x = 777,416,050,944
  5. Step 5: Solve for x
    x = 777,416,050,944/423,432
  6. Step 6: Final answer
    x = 1,835,987.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.