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Finding the Third Proportional to 909,720 and 1,426,909.50

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Solution

The third proportional to 909,720 and 1,426,909.50 is: 2,238,129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,720 : 1,426,909.50 = 1,426,909.50 : x
  2. Step 2: Convert to fraction form
    909,720/1,426,909.50 = 1,426,909.50/x
  3. Step 3: Cross multiply
    909,720x = 1,426,909.50 × 1,426,909.50
  4. Step 4: Simplify right side
    909,720x = 2,036,070,721,190.25
  5. Step 5: Solve for x
    x = 2,036,070,721,190.25/909,720
  6. Step 6: Final answer
    x = 2,238,129.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.