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Finding the Third Proportional to 357,582 and 540,018

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Solution

The third proportional to 357,582 and 540,018 is: 815,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,582 : 540,018 = 540,018 : x
  2. Step 2: Convert to fraction form
    357,582/540,018 = 540,018/x
  3. Step 3: Cross multiply
    357,582x = 540,018 × 540,018
  4. Step 4: Simplify right side
    357,582x = 291,619,440,324
  5. Step 5: Solve for x
    x = 291,619,440,324/357,582
  6. Step 6: Final answer
    x = 815,531.66

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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.