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Finding the Third Proportional to 261,273 and 390,894

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Solution

The third proportional to 261,273 and 390,894 is: 584,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,273 : 390,894 = 390,894 : x
  2. Step 2: Convert to fraction form
    261,273/390,894 = 390,894/x
  3. Step 3: Cross multiply
    261,273x = 390,894 × 390,894
  4. Step 4: Simplify right side
    261,273x = 152,798,119,236
  5. Step 5: Solve for x
    x = 152,798,119,236/261,273
  6. Step 6: Final answer
    x = 584,821.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.