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Finding the Third Proportional to 448,633 and 689,581

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Solution

The third proportional to 448,633 and 689,581 is: 1,059,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,633 : 689,581 = 689,581 : x
  2. Step 2: Convert to fraction form
    448,633/689,581 = 689,581/x
  3. Step 3: Cross multiply
    448,633x = 689,581 × 689,581
  4. Step 4: Simplify right side
    448,633x = 475,521,955,561
  5. Step 5: Solve for x
    x = 475,521,955,561/448,633
  6. Step 6: Final answer
    x = 1,059,935.30

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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.