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Finding the Third Proportional to 249,888 and 356,140

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Solution

The third proportional to 249,888 and 356,140 is: 507,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,888 : 356,140 = 356,140 : x
  2. Step 2: Convert to fraction form
    249,888/356,140 = 356,140/x
  3. Step 3: Cross multiply
    249,888x = 356,140 × 356,140
  4. Step 4: Simplify right side
    249,888x = 126,835,699,600
  5. Step 5: Solve for x
    x = 126,835,699,600/249,888
  6. Step 6: Final answer
    x = 507,570.19

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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.