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Finding the Third Proportional to 256,465 and 402,303

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Solution

The third proportional to 256,465 and 402,303 is: 631,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,465 : 402,303 = 402,303 : x
  2. Step 2: Convert to fraction form
    256,465/402,303 = 402,303/x
  3. Step 3: Cross multiply
    256,465x = 402,303 × 402,303
  4. Step 4: Simplify right side
    256,465x = 161,847,703,809
  5. Step 5: Solve for x
    x = 161,847,703,809/256,465
  6. Step 6: Final answer
    x = 631,071.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.