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Finding the Third Proportional to 687,253 and 1,010,283

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Solution

The third proportional to 687,253 and 1,010,283 is: 1,485,147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,253 : 1,010,283 = 1,010,283 : x
  2. Step 2: Convert to fraction form
    687,253/1,010,283 = 1,010,283/x
  3. Step 3: Cross multiply
    687,253x = 1,010,283 × 1,010,283
  4. Step 4: Simplify right side
    687,253x = 1,020,671,740,089
  5. Step 5: Solve for x
    x = 1,020,671,740,089/687,253
  6. Step 6: Final answer
    x = 1,485,147.01

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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.