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Finding the Third Proportional to 515,316 and 712,052

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Solution

The third proportional to 515,316 and 712,052 is: 983,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,316 : 712,052 = 712,052 : x
  2. Step 2: Convert to fraction form
    515,316/712,052 = 712,052/x
  3. Step 3: Cross multiply
    515,316x = 712,052 × 712,052
  4. Step 4: Simplify right side
    515,316x = 507,018,050,704
  5. Step 5: Solve for x
    x = 507,018,050,704/515,316
  6. Step 6: Final answer
    x = 983,897.36

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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.