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Finding the Third Proportional to 686,907 and 1,010,497.50

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Solution

The third proportional to 686,907 and 1,010,497.50 is: 1,486,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,907 : 1,010,497.50 = 1,010,497.50 : x
  2. Step 2: Convert to fraction form
    686,907/1,010,497.50 = 1,010,497.50/x
  3. Step 3: Cross multiply
    686,907x = 1,010,497.50 × 1,010,497.50
  4. Step 4: Simplify right side
    686,907x = 1,021,105,197,506.25
  5. Step 5: Solve for x
    x = 1,021,105,197,506.25/686,907
  6. Step 6: Final answer
    x = 1,486,526.12

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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.