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Finding the Third Proportional to 287,715 and 624,354

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Solution

The third proportional to 287,715 and 624,354 is: 1,354,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,715 : 624,354 = 624,354 : x
  2. Step 2: Convert to fraction form
    287,715/624,354 = 624,354/x
  3. Step 3: Cross multiply
    287,715x = 624,354 × 624,354
  4. Step 4: Simplify right side
    287,715x = 389,817,917,316
  5. Step 5: Solve for x
    x = 389,817,917,316/287,715
  6. Step 6: Final answer
    x = 1,354,875.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.