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Finding the Third Proportional to 372,820 and 578,346

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Solution

The third proportional to 372,820 and 578,346 is: 897,173.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,820 : 578,346 = 578,346 : x
  2. Step 2: Convert to fraction form
    372,820/578,346 = 578,346/x
  3. Step 3: Cross multiply
    372,820x = 578,346 × 578,346
  4. Step 4: Simplify right side
    372,820x = 334,484,095,716
  5. Step 5: Solve for x
    x = 334,484,095,716/372,820
  6. Step 6: Final answer
    x = 897,173.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.