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Finding the Third Proportional to 521,877.61 and 808,068.30

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Solution

The third proportional to 521,877.61 and 808,068.30 is: 1,251,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,877.61 : 808,068.30 = 808,068.30 : x
  2. Step 2: Convert to fraction form
    521,877.61/808,068.30 = 808,068.30/x
  3. Step 3: Cross multiply
    521,877.61x = 808,068.30 × 808,068.30
  4. Step 4: Simplify right side
    521,877.61x = 652,974,379,935.87
  5. Step 5: Solve for x
    x = 652,974,379,935.87/521,877.61
  6. Step 6: Final answer
    x = 1,251,202.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.