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Finding the Third Proportional to 305,070 and 461,547

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Solution

The third proportional to 305,070 and 461,547 is: 698,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,070 : 461,547 = 461,547 : x
  2. Step 2: Convert to fraction form
    305,070/461,547 = 461,547/x
  3. Step 3: Cross multiply
    305,070x = 461,547 × 461,547
  4. Step 4: Simplify right side
    305,070x = 213,025,633,209
  5. Step 5: Solve for x
    x = 213,025,633,209/305,070
  6. Step 6: Final answer
    x = 698,284.44

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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.