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Finding the Third Proportional to 310,975,071 and 719,926,342.50

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Solution

The third proportional to 310,975,071 and 719,926,342.50 is: 1,666,673,592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,975,071 : 719,926,342.50 = 719,926,342.50 : x
  2. Step 2: Convert to fraction form
    310,975,071/719,926,342.50 = 719,926,342.50/x
  3. Step 3: Cross multiply
    310,975,071x = 719,926,342.50 × 719,926,342.50
  4. Step 4: Simplify right side
    310,975,071x = 518,293,938,625,427,328
  5. Step 5: Solve for x
    x = 518,293,938,625,427,328/310,975,071
  6. Step 6: Final answer
    x = 1,666,673,592.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.