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Finding the Third Proportional to 442,752 and 691,776

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Solution

The third proportional to 442,752 and 691,776 is: 1,080,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,752 : 691,776 = 691,776 : x
  2. Step 2: Convert to fraction form
    442,752/691,776 = 691,776/x
  3. Step 3: Cross multiply
    442,752x = 691,776 × 691,776
  4. Step 4: Simplify right side
    442,752x = 478,554,034,176
  5. Step 5: Solve for x
    x = 478,554,034,176/442,752
  6. Step 6: Final answer
    x = 1,080,862.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.