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Finding the Third Proportional to 149,280,580 and 310,478,792

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Solution

The third proportional to 149,280,580 and 310,478,792 is: 645,744,277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,280,580 : 310,478,792 = 310,478,792 : x
  2. Step 2: Convert to fraction form
    149,280,580/310,478,792 = 310,478,792/x
  3. Step 3: Cross multiply
    149,280,580x = 310,478,792 × 310,478,792
  4. Step 4: Simplify right side
    149,280,580x = 96,397,080,281,779,264
  5. Step 5: Solve for x
    x = 96,397,080,281,779,264/149,280,580
  6. Step 6: Final answer
    x = 645,744,277.53

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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.