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Finding the Third Proportional to 432,582 and 578,642

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Solution

The third proportional to 432,582 and 578,642 is: 774,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,582 : 578,642 = 578,642 : x
  2. Step 2: Convert to fraction form
    432,582/578,642 = 578,642/x
  3. Step 3: Cross multiply
    432,582x = 578,642 × 578,642
  4. Step 4: Simplify right side
    432,582x = 334,826,564,164
  5. Step 5: Solve for x
    x = 334,826,564,164/432,582
  6. Step 6: Final answer
    x = 774,018.72

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.