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Finding the Third Proportional to 289,712 and 432,886

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Solution

The third proportional to 289,712 and 432,886 is: 646,815.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,712 : 432,886 = 432,886 : x
  2. Step 2: Convert to fraction form
    289,712/432,886 = 432,886/x
  3. Step 3: Cross multiply
    289,712x = 432,886 × 432,886
  4. Step 4: Simplify right side
    289,712x = 187,390,288,996
  5. Step 5: Solve for x
    x = 187,390,288,996/289,712
  6. Step 6: Final answer
    x = 646,815.77

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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.