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Finding the Third Proportional to 346,242.75 and 521,642.25

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Solution

The third proportional to 346,242.75 and 521,642.25 is: 785,895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,242.75 : 521,642.25 = 521,642.25 : x
  2. Step 2: Convert to fraction form
    346,242.75/521,642.25 = 521,642.25/x
  3. Step 3: Cross multiply
    346,242.75x = 521,642.25 × 521,642.25
  4. Step 4: Simplify right side
    346,242.75x = 272,110,636,985.06
  5. Step 5: Solve for x
    x = 272,110,636,985.06/346,242.75
  6. Step 6: Final answer
    x = 785,895.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.