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Finding the Third Proportional to 157,215 and 249,114

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Solution

The third proportional to 157,215 and 249,114 is: 394,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,215 : 249,114 = 249,114 : x
  2. Step 2: Convert to fraction form
    157,215/249,114 = 249,114/x
  3. Step 3: Cross multiply
    157,215x = 249,114 × 249,114
  4. Step 4: Simplify right side
    157,215x = 62,057,784,996
  5. Step 5: Solve for x
    x = 62,057,784,996/157,215
  6. Step 6: Final answer
    x = 394,731.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.