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Finding the Third Proportional to 661,182 and 1,021,905

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Solution

The third proportional to 661,182 and 1,021,905 is: 1,579,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,182 : 1,021,905 = 1,021,905 : x
  2. Step 2: Convert to fraction form
    661,182/1,021,905 = 1,021,905/x
  3. Step 3: Cross multiply
    661,182x = 1,021,905 × 1,021,905
  4. Step 4: Simplify right side
    661,182x = 1,044,289,829,025
  5. Step 5: Solve for x
    x = 1,044,289,829,025/661,182
  6. Step 6: Final answer
    x = 1,579,428.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.