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Finding the Third Proportional to 155,480 and 240,091

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Solution

The third proportional to 155,480 and 240,091 is: 370,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,480 : 240,091 = 240,091 : x
  2. Step 2: Convert to fraction form
    155,480/240,091 = 240,091/x
  3. Step 3: Cross multiply
    155,480x = 240,091 × 240,091
  4. Step 4: Simplify right side
    155,480x = 57,643,688,281
  5. Step 5: Solve for x
    x = 57,643,688,281/155,480
  6. Step 6: Final answer
    x = 370,746.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.