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Finding the Third Proportional to 289,706 and 432,877

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Solution

The third proportional to 289,706 and 432,877 is: 646,802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,706 : 432,877 = 432,877 : x
  2. Step 2: Convert to fraction form
    289,706/432,877 = 432,877/x
  3. Step 3: Cross multiply
    289,706x = 432,877 × 432,877
  4. Step 4: Simplify right side
    289,706x = 187,382,497,129
  5. Step 5: Solve for x
    x = 187,382,497,129/289,706
  6. Step 6: Final answer
    x = 646,802.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.