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Finding the Third Proportional to 252,165 and 390,461

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Solution

The third proportional to 252,165 and 390,461 is: 604,603.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,165 : 390,461 = 390,461 : x
  2. Step 2: Convert to fraction form
    252,165/390,461 = 390,461/x
  3. Step 3: Cross multiply
    252,165x = 390,461 × 390,461
  4. Step 4: Simplify right side
    252,165x = 152,459,792,521
  5. Step 5: Solve for x
    x = 152,459,792,521/252,165
  6. Step 6: Final answer
    x = 604,603.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.