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Finding the Third Proportional to 623,709 and 1,312,618.50

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Solution

The third proportional to 623,709 and 1,312,618.50 is: 2,762,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,709 : 1,312,618.50 = 1,312,618.50 : x
  2. Step 2: Convert to fraction form
    623,709/1,312,618.50 = 1,312,618.50/x
  3. Step 3: Cross multiply
    623,709x = 1,312,618.50 × 1,312,618.50
  4. Step 4: Simplify right side
    623,709x = 1,722,967,326,542.25
  5. Step 5: Solve for x
    x = 1,722,967,326,542.25/623,709
  6. Step 6: Final answer
    x = 2,762,453.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.