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Finding the Third Proportional to 589,405 and 887,547

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Solution

The third proportional to 589,405 and 887,547 is: 1,336,499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,405 : 887,547 = 887,547 : x
  2. Step 2: Convert to fraction form
    589,405/887,547 = 887,547/x
  3. Step 3: Cross multiply
    589,405x = 887,547 × 887,547
  4. Step 4: Simplify right side
    589,405x = 787,739,677,209
  5. Step 5: Solve for x
    x = 787,739,677,209/589,405
  6. Step 6: Final answer
    x = 1,336,499.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.