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Finding the Third Proportional to 249,583,416.75 and 389,484,429.75

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Solution

The third proportional to 249,583,416.75 and 389,484,429.75 is: 607,805,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,583,416.75 : 389,484,429.75 = 389,484,429.75 : x
  2. Step 2: Convert to fraction form
    249,583,416.75/389,484,429.75 = 389,484,429.75/x
  3. Step 3: Cross multiply
    249,583,416.75x = 389,484,429.75 × 389,484,429.75
  4. Step 4: Simplify right side
    249,583,416.75x = 151,698,121,017,682,688
  5. Step 5: Solve for x
    x = 151,698,121,017,682,688/249,583,416.75
  6. Step 6: Final answer
    x = 607,805,290.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.