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Finding the Third Proportional to 310,575 and 665,437

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Solution

The third proportional to 310,575 and 665,437 is: 1,425,763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,575 : 665,437 = 665,437 : x
  2. Step 2: Convert to fraction form
    310,575/665,437 = 665,437/x
  3. Step 3: Cross multiply
    310,575x = 665,437 × 665,437
  4. Step 4: Simplify right side
    310,575x = 442,806,400,969
  5. Step 5: Solve for x
    x = 442,806,400,969/310,575
  6. Step 6: Final answer
    x = 1,425,763.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.