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Finding the Third Proportional to 357,124 and 540,294

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Solution

The third proportional to 357,124 and 540,294 is: 817,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,124 : 540,294 = 540,294 : x
  2. Step 2: Convert to fraction form
    357,124/540,294 = 540,294/x
  3. Step 3: Cross multiply
    357,124x = 540,294 × 540,294
  4. Step 4: Simplify right side
    357,124x = 291,917,606,436
  5. Step 5: Solve for x
    x = 291,917,606,436/357,124
  6. Step 6: Final answer
    x = 817,412.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.