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Finding the Third Proportional to 551,253 and 830,086

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Solution

The third proportional to 551,253 and 830,086 is: 1,249,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,253 : 830,086 = 830,086 : x
  2. Step 2: Convert to fraction form
    551,253/830,086 = 830,086/x
  3. Step 3: Cross multiply
    551,253x = 830,086 × 830,086
  4. Step 4: Simplify right side
    551,253x = 689,042,767,396
  5. Step 5: Solve for x
    x = 689,042,767,396/551,253
  6. Step 6: Final answer
    x = 1,249,957.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.