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Finding the Third Proportional to 475,642 and 717,495

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Solution

The third proportional to 475,642 and 717,495 is: 1,082,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,642 : 717,495 = 717,495 : x
  2. Step 2: Convert to fraction form
    475,642/717,495 = 717,495/x
  3. Step 3: Cross multiply
    475,642x = 717,495 × 717,495
  4. Step 4: Simplify right side
    475,642x = 514,799,075,025
  5. Step 5: Solve for x
    x = 514,799,075,025/475,642
  6. Step 6: Final answer
    x = 1,082,324.68

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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.