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Finding the Third Proportional to 553,675.50 and 617,827.50

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Solution

The third proportional to 553,675.50 and 617,827.50 is: 689,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,675.50 : 617,827.50 = 617,827.50 : x
  2. Step 2: Convert to fraction form
    553,675.50/617,827.50 = 617,827.50/x
  3. Step 3: Cross multiply
    553,675.50x = 617,827.50 × 617,827.50
  4. Step 4: Simplify right side
    553,675.50x = 381,710,819,756.25
  5. Step 5: Solve for x
    x = 381,710,819,756.25/553,675.50
  6. Step 6: Final answer
    x = 689,412.52

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.