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Finding the Third Proportional to 607,203 and 891,117

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Solution

The third proportional to 607,203 and 891,117 is: 1,307,782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,203 : 891,117 = 891,117 : x
  2. Step 2: Convert to fraction form
    607,203/891,117 = 891,117/x
  3. Step 3: Cross multiply
    607,203x = 891,117 × 891,117
  4. Step 4: Simplify right side
    607,203x = 794,089,507,689
  5. Step 5: Solve for x
    x = 794,089,507,689/607,203
  6. Step 6: Final answer
    x = 1,307,782.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.