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Finding the Third Proportional to 314,010 and 687,735

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Solution

The third proportional to 314,010 and 687,735 is: 1,506,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,010 : 687,735 = 687,735 : x
  2. Step 2: Convert to fraction form
    314,010/687,735 = 687,735/x
  3. Step 3: Cross multiply
    314,010x = 687,735 × 687,735
  4. Step 4: Simplify right side
    314,010x = 472,979,430,225
  5. Step 5: Solve for x
    x = 472,979,430,225/314,010
  6. Step 6: Final answer
    x = 1,506,255.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.