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Finding the Third Proportional to 402 and 646.13

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Solution

The third proportional to 402 and 646.13 is: 1,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402 : 646.13 = 646.13 : x
  2. Step 2: Convert to fraction form
    402/646.13 = 646.13/x
  3. Step 3: Cross multiply
    402x = 646.13 × 646.13
  4. Step 4: Simplify right side
    402x = 417,477.52
  5. Step 5: Solve for x
    x = 417,477.52/402
  6. Step 6: Final answer
    x = 1,038.50

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.