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Finding the Third Proportional to 145,490 and 218,776

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Solution

The third proportional to 145,490 and 218,776 is: 328,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,490 : 218,776 = 218,776 : x
  2. Step 2: Convert to fraction form
    145,490/218,776 = 218,776/x
  3. Step 3: Cross multiply
    145,490x = 218,776 × 218,776
  4. Step 4: Simplify right side
    145,490x = 47,862,938,176
  5. Step 5: Solve for x
    x = 47,862,938,176/145,490
  6. Step 6: Final answer
    x = 328,977.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.