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Finding the Third Proportional to 255,465 and 386,730

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Solution

The third proportional to 255,465 and 386,730 is: 585,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,465 : 386,730 = 386,730 : x
  2. Step 2: Convert to fraction form
    255,465/386,730 = 386,730/x
  3. Step 3: Cross multiply
    255,465x = 386,730 × 386,730
  4. Step 4: Simplify right side
    255,465x = 149,560,092,900
  5. Step 5: Solve for x
    x = 149,560,092,900/255,465
  6. Step 6: Final answer
    x = 585,442.60

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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.