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Finding the Third Proportional to 686,430 and 1,050,072

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Solution

The third proportional to 686,430 and 1,050,072 is: 1,606,356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,430 : 1,050,072 = 1,050,072 : x
  2. Step 2: Convert to fraction form
    686,430/1,050,072 = 1,050,072/x
  3. Step 3: Cross multiply
    686,430x = 1,050,072 × 1,050,072
  4. Step 4: Simplify right side
    686,430x = 1,102,651,205,184
  5. Step 5: Solve for x
    x = 1,102,651,205,184/686,430
  6. Step 6: Final answer
    x = 1,606,356.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.