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Finding the Third Proportional to 330,040 and 514,776

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Solution

The third proportional to 330,040 and 514,776 is: 802,915.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,040 : 514,776 = 514,776 : x
  2. Step 2: Convert to fraction form
    330,040/514,776 = 514,776/x
  3. Step 3: Cross multiply
    330,040x = 514,776 × 514,776
  4. Step 4: Simplify right side
    330,040x = 264,994,330,176
  5. Step 5: Solve for x
    x = 264,994,330,176/330,040
  6. Step 6: Final answer
    x = 802,915.80

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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.