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Finding the Third Proportional to 314,348 and 643,220

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Solution

The third proportional to 314,348 and 643,220 is: 1,316,159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,348 : 643,220 = 643,220 : x
  2. Step 2: Convert to fraction form
    314,348/643,220 = 643,220/x
  3. Step 3: Cross multiply
    314,348x = 643,220 × 643,220
  4. Step 4: Simplify right side
    314,348x = 413,731,968,400
  5. Step 5: Solve for x
    x = 413,731,968,400/314,348
  6. Step 6: Final answer
    x = 1,316,159.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.