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Finding the Third Proportional to 302,705 and 456,363

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Solution

The third proportional to 302,705 and 456,363 is: 688,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,705 : 456,363 = 456,363 : x
  2. Step 2: Convert to fraction form
    302,705/456,363 = 456,363/x
  3. Step 3: Cross multiply
    302,705x = 456,363 × 456,363
  4. Step 4: Simplify right side
    302,705x = 208,267,187,769
  5. Step 5: Solve for x
    x = 208,267,187,769/302,705
  6. Step 6: Final answer
    x = 688,020.31

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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.