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Finding the Third Proportional to 515,346 and 802,465

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Solution

The third proportional to 515,346 and 802,465 is: 1,249,548.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,346 : 802,465 = 802,465 : x
  2. Step 2: Convert to fraction form
    515,346/802,465 = 802,465/x
  3. Step 3: Cross multiply
    515,346x = 802,465 × 802,465
  4. Step 4: Simplify right side
    515,346x = 643,950,076,225
  5. Step 5: Solve for x
    x = 643,950,076,225/515,346
  6. Step 6: Final answer
    x = 1,249,548.99

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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.