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Finding the Third Proportional to 573,490.13 and 802,279.69

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Solution

The third proportional to 573,490.13 and 802,279.69 is: 1,122,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,490.13 : 802,279.69 = 802,279.69 : x
  2. Step 2: Convert to fraction form
    573,490.13/802,279.69 = 802,279.69/x
  3. Step 3: Cross multiply
    573,490.13x = 802,279.69 × 802,279.69
  4. Step 4: Simplify right side
    573,490.13x = 643,652,696,975.10
  5. Step 5: Solve for x
    x = 643,652,696,975.10/573,490.13
  6. Step 6: Final answer
    x = 1,122,343.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.