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Finding the Third Proportional to 287,358 and 624,455.50

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Solution

The third proportional to 287,358 and 624,455.50 is: 1,356,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,358 : 624,455.50 = 624,455.50 : x
  2. Step 2: Convert to fraction form
    287,358/624,455.50 = 624,455.50/x
  3. Step 3: Cross multiply
    287,358x = 624,455.50 × 624,455.50
  4. Step 4: Simplify right side
    287,358x = 389,944,671,480.25
  5. Step 5: Solve for x
    x = 389,944,671,480.25/287,358
  6. Step 6: Final answer
    x = 1,356,999.53

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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.