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Finding the Third Proportional to 699,239 and 1,531,359

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Solution

The third proportional to 699,239 and 1,531,359 is: 3,353,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,239 : 1,531,359 = 1,531,359 : x
  2. Step 2: Convert to fraction form
    699,239/1,531,359 = 1,531,359/x
  3. Step 3: Cross multiply
    699,239x = 1,531,359 × 1,531,359
  4. Step 4: Simplify right side
    699,239x = 2,345,060,386,881
  5. Step 5: Solve for x
    x = 2,345,060,386,881/699,239
  6. Step 6: Final answer
    x = 3,353,732.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.