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Finding the Third Proportional to 249,886 and 356,136

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Solution

The third proportional to 249,886 and 356,136 is: 507,562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,886 : 356,136 = 356,136 : x
  2. Step 2: Convert to fraction form
    249,886/356,136 = 356,136/x
  3. Step 3: Cross multiply
    249,886x = 356,136 × 356,136
  4. Step 4: Simplify right side
    249,886x = 126,832,850,496
  5. Step 5: Solve for x
    x = 126,832,850,496/249,886
  6. Step 6: Final answer
    x = 507,562.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.