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Finding the Third Proportional to 423,468 and 916,920

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Solution

The third proportional to 423,468 and 916,920 is: 1,985,373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,468 : 916,920 = 916,920 : x
  2. Step 2: Convert to fraction form
    423,468/916,920 = 916,920/x
  3. Step 3: Cross multiply
    423,468x = 916,920 × 916,920
  4. Step 4: Simplify right side
    423,468x = 840,742,286,400
  5. Step 5: Solve for x
    x = 840,742,286,400/423,468
  6. Step 6: Final answer
    x = 1,985,373.83

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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.