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Finding the Third Proportional to 299,069.51 and 656,264.74

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Solution

The third proportional to 299,069.51 and 656,264.74 is: 1,440,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,069.51 : 656,264.74 = 656,264.74 : x
  2. Step 2: Convert to fraction form
    299,069.51/656,264.74 = 656,264.74/x
  3. Step 3: Cross multiply
    299,069.51x = 656,264.74 × 656,264.74
  4. Step 4: Simplify right side
    299,069.51x = 430,683,411,838.43
  5. Step 5: Solve for x
    x = 430,683,411,838.43/299,069.51
  6. Step 6: Final answer
    x = 1,440,077.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.