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Finding the Third Proportional to 294,321 and 455,637

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Solution

The third proportional to 294,321 and 455,637 is: 705,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,321 : 455,637 = 455,637 : x
  2. Step 2: Convert to fraction form
    294,321/455,637 = 455,637/x
  3. Step 3: Cross multiply
    294,321x = 455,637 × 455,637
  4. Step 4: Simplify right side
    294,321x = 207,605,075,769
  5. Step 5: Solve for x
    x = 207,605,075,769/294,321
  6. Step 6: Final answer
    x = 705,369.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.