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Finding the Third Proportional to 149,314,064 and 310,547,272

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Solution

The third proportional to 149,314,064 and 310,547,272 is: 645,884,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,314,064 : 310,547,272 = 310,547,272 : x
  2. Step 2: Convert to fraction form
    149,314,064/310,547,272 = 310,547,272/x
  3. Step 3: Cross multiply
    149,314,064x = 310,547,272 × 310,547,272
  4. Step 4: Simplify right side
    149,314,064x = 96,439,608,146,641,984
  5. Step 5: Solve for x
    x = 96,439,608,146,641,984/149,314,064
  6. Step 6: Final answer
    x = 645,884,289.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.