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Finding the Third Proportional to 649,730 and 999,967

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Solution

The third proportional to 649,730 and 999,967 is: 1,538,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,730 : 999,967 = 999,967 : x
  2. Step 2: Convert to fraction form
    649,730/999,967 = 999,967/x
  3. Step 3: Cross multiply
    649,730x = 999,967 × 999,967
  4. Step 4: Simplify right side
    649,730x = 999,934,001,089
  5. Step 5: Solve for x
    x = 999,934,001,089/649,730
  6. Step 6: Final answer
    x = 1,538,999.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.