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Finding the Third Proportional to 445,039 and 689,547

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Solution

The third proportional to 445,039 and 689,547 is: 1,068,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,039 : 689,547 = 689,547 : x
  2. Step 2: Convert to fraction form
    445,039/689,547 = 689,547/x
  3. Step 3: Cross multiply
    445,039x = 689,547 × 689,547
  4. Step 4: Simplify right side
    445,039x = 475,475,065,209
  5. Step 5: Solve for x
    x = 475,475,065,209/445,039
  6. Step 6: Final answer
    x = 1,068,389.66

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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.