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Finding the Third Proportional to 138,748 and 294,776

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Solution

The third proportional to 138,748 and 294,776 is: 626,264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,748 : 294,776 = 294,776 : x
  2. Step 2: Convert to fraction form
    138,748/294,776 = 294,776/x
  3. Step 3: Cross multiply
    138,748x = 294,776 × 294,776
  4. Step 4: Simplify right side
    138,748x = 86,892,890,176
  5. Step 5: Solve for x
    x = 86,892,890,176/138,748
  6. Step 6: Final answer
    x = 626,264.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.