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Finding the Third Proportional to 357,132 and 540,306

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Solution

The third proportional to 357,132 and 540,306 is: 817,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,132 : 540,306 = 540,306 : x
  2. Step 2: Convert to fraction form
    357,132/540,306 = 540,306/x
  3. Step 3: Cross multiply
    357,132x = 540,306 × 540,306
  4. Step 4: Simplify right side
    357,132x = 291,930,573,636
  5. Step 5: Solve for x
    x = 291,930,573,636/357,132
  6. Step 6: Final answer
    x = 817,430.46

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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.