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Finding the Third Proportional to 515,308 and 712,040

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Solution

The third proportional to 515,308 and 712,040 is: 983,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,308 : 712,040 = 712,040 : x
  2. Step 2: Convert to fraction form
    515,308/712,040 = 712,040/x
  3. Step 3: Cross multiply
    515,308x = 712,040 × 712,040
  4. Step 4: Simplify right side
    515,308x = 507,000,961,600
  5. Step 5: Solve for x
    x = 507,000,961,600/515,308
  6. Step 6: Final answer
    x = 983,879.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.