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Finding the Third Proportional to 262,428 and 417,772.50

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Solution

The third proportional to 262,428 and 417,772.50 is: 665,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,428 : 417,772.50 = 417,772.50 : x
  2. Step 2: Convert to fraction form
    262,428/417,772.50 = 417,772.50/x
  3. Step 3: Cross multiply
    262,428x = 417,772.50 × 417,772.50
  4. Step 4: Simplify right side
    262,428x = 174,533,861,756.25
  5. Step 5: Solve for x
    x = 174,533,861,756.25/262,428
  6. Step 6: Final answer
    x = 665,073.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.