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Finding the Third Proportional to 420,612 and 653,106

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Solution

The third proportional to 420,612 and 653,106 is: 1,014,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,612 : 653,106 = 653,106 : x
  2. Step 2: Convert to fraction form
    420,612/653,106 = 653,106/x
  3. Step 3: Cross multiply
    420,612x = 653,106 × 653,106
  4. Step 4: Simplify right side
    420,612x = 426,547,447,236
  5. Step 5: Solve for x
    x = 426,547,447,236/420,612
  6. Step 6: Final answer
    x = 1,014,111.45

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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.