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Finding the Third Proportional to 210,551 and 456,574

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Solution

The third proportional to 210,551 and 456,574 is: 990,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,551 : 456,574 = 456,574 : x
  2. Step 2: Convert to fraction form
    210,551/456,574 = 456,574/x
  3. Step 3: Cross multiply
    210,551x = 456,574 × 456,574
  4. Step 4: Simplify right side
    210,551x = 208,459,817,476
  5. Step 5: Solve for x
    x = 208,459,817,476/210,551
  6. Step 6: Final answer
    x = 990,068.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.