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Finding the Third Proportional to 268,681.50 and 391,946.63

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Solution

The third proportional to 268,681.50 and 391,946.63 is: 571,763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,681.50 : 391,946.63 = 391,946.63 : x
  2. Step 2: Convert to fraction form
    268,681.50/391,946.63 = 391,946.63/x
  3. Step 3: Cross multiply
    268,681.50x = 391,946.63 × 391,946.63
  4. Step 4: Simplify right side
    268,681.50x = 153,622,156,848.89
  5. Step 5: Solve for x
    x = 153,622,156,848.89/268,681.50
  6. Step 6: Final answer
    x = 571,763.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.