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Finding the Third Proportional to 359,712 and 540,495

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Solution

The third proportional to 359,712 and 540,495 is: 812,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,712 : 540,495 = 540,495 : x
  2. Step 2: Convert to fraction form
    359,712/540,495 = 540,495/x
  3. Step 3: Cross multiply
    359,712x = 540,495 × 540,495
  4. Step 4: Simplify right side
    359,712x = 292,134,845,025
  5. Step 5: Solve for x
    x = 292,134,845,025/359,712
  6. Step 6: Final answer
    x = 812,135.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.