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Finding the Third Proportional to 384,485 and 841,346.50

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Solution

The third proportional to 384,485 and 841,346.50 is: 1,841,070.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,485 : 841,346.50 = 841,346.50 : x
  2. Step 2: Convert to fraction form
    384,485/841,346.50 = 841,346.50/x
  3. Step 3: Cross multiply
    384,485x = 841,346.50 × 841,346.50
  4. Step 4: Simplify right side
    384,485x = 707,863,933,062.25
  5. Step 5: Solve for x
    x = 707,863,933,062.25/384,485
  6. Step 6: Final answer
    x = 1,841,070.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.