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Finding the Third Proportional to 553,698 and 841,744.50

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Solution

The third proportional to 553,698 and 841,744.50 is: 1,279,639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,698 : 841,744.50 = 841,744.50 : x
  2. Step 2: Convert to fraction form
    553,698/841,744.50 = 841,744.50/x
  3. Step 3: Cross multiply
    553,698x = 841,744.50 × 841,744.50
  4. Step 4: Simplify right side
    553,698x = 708,533,803,280.25
  5. Step 5: Solve for x
    x = 708,533,803,280.25/553,698
  6. Step 6: Final answer
    x = 1,279,639.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.