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Finding the Third Proportional to 336,587 and 720,465

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Solution

The third proportional to 336,587 and 720,465 is: 1,542,156.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,587 : 720,465 = 720,465 : x
  2. Step 2: Convert to fraction form
    336,587/720,465 = 720,465/x
  3. Step 3: Cross multiply
    336,587x = 720,465 × 720,465
  4. Step 4: Simplify right side
    336,587x = 519,069,816,225
  5. Step 5: Solve for x
    x = 519,069,816,225/336,587
  6. Step 6: Final answer
    x = 1,542,156.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.