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Finding the Third Proportional to 265,371 and 390,226.50

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Solution

The third proportional to 265,371 and 390,226.50 is: 573,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,371 : 390,226.50 = 390,226.50 : x
  2. Step 2: Convert to fraction form
    265,371/390,226.50 = 390,226.50/x
  3. Step 3: Cross multiply
    265,371x = 390,226.50 × 390,226.50
  4. Step 4: Simplify right side
    265,371x = 152,276,721,302.25
  5. Step 5: Solve for x
    x = 152,276,721,302.25/265,371
  6. Step 6: Final answer
    x = 573,825.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.